3914920152000 has 1512 divisors, whose sum is σ = 16674623587440. Its totient is φ = 875736576000.

The previous prime is 3914920151981. The next prime is 3914920152001. The reversal of 3914920152000 is 2510294193.

3914920152000 is a `hidden beast` number, since 3 + 91 + 49 + 2 + 0 + 1 + 520 + 0 + 0 = 666.

3914920152000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (3914920152001) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1472326671 + ... + 1472329329.

Almost surely, 2^{3914920152000} is an apocalyptic number.

3914920152000 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 3914920152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8337311793720).

3914920152000 is an abundant number, since it is smaller than the sum of its proper divisors (12759703435440).

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

3914920152000 is a wasteful number, since it uses less digits than its factorization.

3914920152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 3914920152000 in words is "three trillion, nine hundred fourteen billion, nine hundred twenty million, one hundred fifty-two thousand".