3937630506480 has 240 divisors, whose sum is σ = 14545273373280. Its totient is φ = 954576860160.

The previous prime is 3937630506461. The next prime is 3937630506493. The reversal of 3937630506480 is 846050367393.

3937630506480 is a `hidden beast` number, since 3 + 9 + 37 + 63 + 0 + 506 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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, 1096125 + ... + 3012764.

It is an arithmetic number, because the mean of its divisors is an integer number (60605305722).

Almost surely, 2^{3937630506480} is an apocalyptic number.

3937630506480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3937630506480 is an abundant number, since it is smaller than the sum of its proper divisors (10607642866800).

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

3937630506480 is a wasteful number, since it uses less digits than its factorization.

3937630506480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4108941 (or 4108910 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 3937630506480 in words is "three trillion, nine hundred thirty-seven billion, six hundred thirty million, five hundred six thousand, four hundred eighty".