37542750336 has 384 divisors, whose sum is σ = 136571635200. Its totient is φ = 9632784384.

The previous prime is 37542750307. The next prime is 37542750341. The reversal of 37542750336 is 63305724573.

37542750336 is a `hidden beast` number, since 3 + 7 + 542 + 75 + 0 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×37542750336² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 37542750291 and 37542750300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3873945 + ... + 3883623.

It is an arithmetic number, because the mean of its divisors is an integer number (355655300).

Almost surely, 2^37542750336 is an apocalyptic number.

37542750336 is a gapful number since it is divisible by the number (36) 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 37542750336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68285817600).

37542750336 is an abundant number, since it is smaller than the sum of its proper divisors (99028884864).

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

37542750336 is a wasteful number, since it uses less digits than its factorization.

37542750336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9756 (or 9741 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 45.

The spelling of 37542750336 in words is "thirty-seven billion, five hundred forty-two million, seven hundred fifty thousand, three hundred thirty-six".