37140994800 has 2160 divisors, whose sum is σ = 184360700160. Its totient is φ = 6987202560.

The previous prime is 37140994777. The next prime is 37140994829. The reversal of 37140994800 is 849904173.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-3 number, since 3×37140994800³ (a number of 33 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1954789191 + ... + 1954789209.

It is an arithmetic number, because the mean of its divisors is an integer number (85352176).

Almost surely, 2^37140994800 is an apocalyptic number.

37140994800 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 37140994800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92180350080).

37140994800 is an abundant number, since it is smaller than the sum of its proper divisors (147219705360).

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

37140994800 is a wasteful number, since it uses less digits than its factorization.

37140994800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 66 counting only the distinct ones).

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

The spelling of 37140994800 in words is "thirty-seven billion, one hundred forty million, nine hundred ninety-four thousand, eight hundred".