37125790350 has 192 divisors, whose sum is σ = 101574570240. Its totient is φ = 8899430400.

The previous prime is 37125790313. The next prime is 37125790381. The reversal of 37125790350 is 5309752173.

37125790350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×37125790350² (a number of 22 digits) contains 22 as substring.

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, 99532764 + ... + 99533136.

It is an arithmetic number, because the mean of its divisors is an integer number (529034220).

Almost surely, 2^37125790350 is an apocalyptic number.

37125790350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 37125790350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50787285120).

37125790350 is an abundant number, since it is smaller than the sum of its proper divisors (64448779890).

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

37125790350 is a wasteful number, since it uses less digits than its factorization.

37125790350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 42.

The spelling of 37125790350 in words is "thirty-seven billion, one hundred twenty-five million, seven hundred ninety thousand, three hundred fifty".