3921007837500 has 1152 divisors, whose sum is σ = 14261027235840. Its totient is φ = 925344000000.

The previous prime is 3921007837457. The next prime is 3921007837511. The reversal of 3921007837500 is 57387001293.

It is a happy number.

3921007837500 is a `hidden beast` number, since 3 + 9 + 2 + 100 + 7 + 8 + 37 + 500 = 666.

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 383 ways as a sum of consecutive naturals, for example, 12772012347 + ... + 12772012653.

It is an arithmetic number, because the mean of its divisors is an integer number (12379363920).

Almost surely, 2^{3921007837500} is an apocalyptic number.

3921007837500 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 3921007837500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7130513617920).

3921007837500 is an abundant number, since it is smaller than the sum of its proper divisors (10340019398340).

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

3921007837500 is a wasteful number, since it uses less digits than its factorization.

3921007837500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 3921007837500 in words is "three trillion, nine hundred twenty-one billion, seven million, eight hundred thirty-seven thousand, five hundred".