3921372000 has 1440 divisors, whose sum is σ = 18979440480. Its totient is φ = 783820800.

The previous prime is 3921371989. The next prime is 3921372029. The reversal of 3921372000 is 2731293.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 206387991 + ... + 206388009.

It is an arithmetic number, because the mean of its divisors is an integer number (13180167).

Almost surely, 2^3921372000 is an apocalyptic number.

3921372000 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 3921372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9489720240).

3921372000 is an abundant number, since it is smaller than the sum of its proper divisors (15058068480).

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

3921372000 is a wasteful number, since it uses less digits than its factorization.

3921372000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3921372000 is about 62620.8591445375. The cubic root of 3921372000 is about 1576.9309649844.

The spelling of 3921372000 in words is "three billion, nine hundred twenty-one million, three hundred seventy-two thousand".