37916279344944 has 1920 divisors, whose sum is σ = 153377183232000. Its totient is φ = 8414264033280.

The previous prime is 37916279344939. The next prime is 37916279344991. The reversal of 37916279344944 is 44944397261973.

It is a happy number.

37916279344944 is a `hidden beast` number, since 3 + 7 + 9 + 1 + 6 + 279 + 344 + 9 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 41258192517 + ... + 41258193435.

It is an arithmetic number, because the mean of its divisors is an integer number (79883949600).

Almost surely, 2^{37916279344944} is an apocalyptic number.

37916279344944 is a gapful number since it is divisible by the number (34) 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 37916279344944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76688591616000).

37916279344944 is an abundant number, since it is smaller than the sum of its proper divisors (115460903887056).

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

37916279344944 is a wasteful number, since it uses less digits than its factorization.

37916279344944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1234 counting only the distinct ones).

The product of its digits is 987614208, while the sum is 72.

The spelling of 37916279344944 in words is "thirty-seven trillion, nine hundred sixteen billion, two hundred seventy-nine million, three hundred forty-four thousand, nine hundred forty-four".