37344274007040 has 5280 divisors, whose sum is σ = 186484390380288. Its totient is φ = 7023034368000.

The previous prime is 37344274006993. The next prime is 37344274007059. The reversal of 37344274007040 is 4070047244373.

37344274007040 is a `hidden beast` number, since 3 + 73 + 442 + 74 + 0 + 0 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

It is a super-2 number, since 2×37344274007040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 206321955750 + ... + 206321955930.

Almost surely, 2^{37344274007040} is an apocalyptic number.

37344274007040 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 37344274007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93242195190144).

37344274007040 is an abundant number, since it is smaller than the sum of its proper divisors (149140116373248).

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

37344274007040 is a wasteful number, since it uses less digits than its factorization.

37344274007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 45.

The spelling of 37344274007040 in words is "thirty-seven trillion, three hundred forty-four billion, two hundred seventy-four million, seven thousand, forty".