3992602320 has 640 divisors, whose sum is σ = 17034624000. Its totient is φ = 856203264.

The previous prime is 3992602319. The next prime is 3992602321. The reversal of 3992602320 is 232062993.

3992602320 is a `hidden beast` number, since 399 + 260 + 2 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3992602319) and next prime (3992602321).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3992602321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12594802 + ... + 12595118.

It is an arithmetic number, because the mean of its divisors is an integer number (26616600).

Almost surely, 2^3992602320 is an apocalyptic number.

3992602320 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 3992602320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8517312000).

3992602320 is an abundant number, since it is smaller than the sum of its proper divisors (13042021680).

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

3992602320 is a wasteful number, since it uses less digits than its factorization.

3992602320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3992602320 is about 63187.0423425563. The cubic root of 3992602320 is about 1586.4218576549.

The spelling of 3992602320 in words is "three billion, nine hundred ninety-two million, six hundred two thousand, three hundred twenty".