3706112931840 has 960 divisors, whose sum is σ = 15254903664000. Its totient is φ = 851124879360.

The previous prime is 3706112931809. The next prime is 3706112931877. The reversal of 3706112931840 is 481392116073.

3706112931840 is a `hidden beast` number, since 3 + 7 + 0 + 611 + 29 + 3 + 1 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 79 ways as a sum of consecutive naturals, for example, 173342271 + ... + 173363649.

It is an arithmetic number, because the mean of its divisors is an integer number (15890524650).

Almost surely, 2^{3706112931840} is an apocalyptic number.

3706112931840 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 3706112931840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7627451832000).

3706112931840 is an abundant number, since it is smaller than the sum of its proper divisors (11548790732160).

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

3706112931840 is a wasteful number, since it uses less digits than its factorization.

3706112931840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21448 (or 21419 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 3706112931840 in words is "three trillion, seven hundred six billion, one hundred twelve million, nine hundred thirty-one thousand, eight hundred forty".