3922953840 has 240 divisors, whose sum is σ = 14324270688. Its totient is φ = 956381184.

The previous prime is 3922953833. The next prime is 3922953863. The reversal of 3922953840 is 483592293.

It is a happy number.

3922953840 is a `hidden beast` number, since 3 + 92 + 29 + 538 + 4 + 0 = 666.

3922953840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 999562 + ... + 1003478.

Almost surely, 2^3922953840 is an apocalyptic number.

3922953840 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 3922953840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7162135344).

3922953840 is an abundant number, since it is smaller than the sum of its proper divisors (10401316848).

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

3922953840 is a wasteful number, since it uses less digits than its factorization.

3922953840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056 (or 4047 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3922953840 is about 62633.4881672736. The cubic root of 3922953840 is about 1577.1429755716.

The spelling of 3922953840 in words is "three billion, nine hundred twenty-two million, nine hundred fifty-three thousand, eight hundred forty".