3900214656 has 288 divisors, whose sum is σ = 12535155360. Its totient is φ = 1157068800.

The previous prime is 3900214651. The next prime is 3900214657. The reversal of 3900214656 is 6564120093.

It is a happy number.

3900214656 is a `hidden beast` number, since 390 + 0 + 214 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×3900214656³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3900214656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3900214651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14391801 + ... + 14392071.

It is an arithmetic number, because the mean of its divisors is an integer number (43524845).

Almost surely, 2^3900214656 is an apocalyptic number.

3900214656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3900214656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6267577680).

3900214656 is an abundant number, since it is smaller than the sum of its proper divisors (8634940704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3900214656 is a wasteful number, since it uses less digits than its factorization.

3900214656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3900214656 is about 62451.6985837855. The cubic root of 3900214656 is about 1574.0897948726.

The spelling of 3900214656 in words is "three billion, nine hundred million, two hundred fourteen thousand, six hundred fifty-six".