3900654720 has 384 divisors, whose sum is σ = 14034384000. Its totient is φ = 997539840.

The previous prime is 3900654683. The next prime is 3900654721. The reversal of 3900654720 is 274560093.

3900654720 is a `hidden beast` number, since 3 + 90 + 0 + 6 + 547 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (3900654721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19601181 + ... + 19601379.

It is an arithmetic number, because the mean of its divisors is an integer number (36547875).

Almost surely, 2^3900654720 is an apocalyptic number.

3900654720 is a gapful number since it is divisible by the number (30) 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 3900654720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7017192000).

3900654720 is an abundant number, since it is smaller than the sum of its proper divisors (10133729280).

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

3900654720 is a wasteful number, since it uses less digits than its factorization.

3900654720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3900654720 is about 62455.2217192446. The cubic root of 3900654720 is about 1574.1489945374.

The spelling of 3900654720 in words is "three billion, nine hundred million, six hundred fifty-four thousand, seven hundred twenty".