3937486080 has 432 divisors, whose sum is σ = 14321506752. Its totient is φ = 914227200.

The previous prime is 3937486079. The next prime is 3937486103. The reversal of 3937486080 is 806847393.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40592592 + ... + 40592688.

It is an arithmetic number, because the mean of its divisors is an integer number (33151636).

Almost surely, 2^3937486080 is an apocalyptic number.

3937486080 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 3937486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7160753376).

3937486080 is an abundant number, since it is smaller than the sum of its proper divisors (10384020672).

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

3937486080 is a wasteful number, since it uses less digits than its factorization.

3937486080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 3937486080 is about 62749.3910727427. The cubic root of 3937486080 is about 1579.0880385923.

The spelling of 3937486080 in words is "three billion, nine hundred thirty-seven million, four hundred eighty-six thousand, eighty".