37340457840 has 480 divisors, whose sum is σ = 158424413760. Its totient is φ = 8032518144.

The previous prime is 37340457829. The next prime is 37340457871. The reversal of 37340457840 is 4875404373.

37340457840 is a `hidden beast` number, since 3 + 7 + 34 + 0 + 4 + 578 + 40 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1788904 + ... + 1809656.

It is an arithmetic number, because the mean of its divisors is an integer number (330050862).

Almost surely, 2^37340457840 is an apocalyptic number.

37340457840 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 37340457840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79212206880).

37340457840 is an abundant number, since it is smaller than the sum of its proper divisors (121083955920).

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

37340457840 is a wasteful number, since it uses less digits than its factorization.

37340457840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20806 (or 20787 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 37340457840 in words is "thirty-seven billion, three hundred forty million, four hundred fifty-seven thousand, eight hundred forty".