3937459680 has 1152 divisors, whose sum is σ = 18615744000. Its totient is φ = 766402560.

The previous prime is 3937459667. The next prime is 3937459681. The reversal of 3937459680 is 869547393.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3937459681) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 44241076 + ... + 44241164.

It is an arithmetic number, because the mean of its divisors is an integer number (16159500).

Almost surely, 2^3937459680 is an apocalyptic number.

3937459680 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 3937459680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9307872000).

3937459680 is an abundant number, since it is smaller than the sum of its proper divisors (14678284320).

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

3937459680 is a wasteful number, since it uses less digits than its factorization.

3937459680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 3937459680 is about 62749.1807117830. The cubic root of 3937459680 is about 1579.0845094355.

The spelling of 3937459680 in words is "three billion, nine hundred thirty-seven million, four hundred fifty-nine thousand, six hundred eighty".