37344681440 has 96 divisors (see below), whose sum is σ = 96387913440. Its totient is φ = 13560064000.

The previous prime is 37344681427. The next prime is 37344681457. The reversal of 37344681440 is 4418644373.

37344681440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 37344681391 and 37344681400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1218626 + ... + 1248894.

It is an arithmetic number, because the mean of its divisors is an integer number (1004040765).

Almost surely, 2^37344681440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37344681440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48193956720).

37344681440 is an abundant number, since it is smaller than the sum of its proper divisors (59043232000).

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

37344681440 is a wasteful number, since it uses less digits than its factorization.

37344681440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30996 (or 30988 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 44.

The spelling of 37344681440 in words is "thirty-seven billion, three hundred forty-four million, six hundred eighty-one thousand, four hundred forty".