3992949030240 has 480 divisors, whose sum is σ = 14929741610784. Its totient is φ = 1001545482240.

The previous prime is 3992949030227. The next prime is 3992949030251. The reversal of 3992949030240 is 420309492993.

3992949030240 is a `hidden beast` number, since 3 + 9 + 9 + 294 + 9 + 0 + 302 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 446584170 + ... + 446593110.

Almost surely, 2^{3992949030240} is an apocalyptic number.

3992949030240 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 3992949030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7464870805392).

3992949030240 is an abundant number, since it is smaller than the sum of its proper divisors (10936792580544).

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

3992949030240 is a wasteful number, since it uses less digits than its factorization.

3992949030240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11012 (or 10995 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 3992949030240 in words is "three trillion, nine hundred ninety-two billion, nine hundred forty-nine million, thirty thousand, two hundred forty".