37949146771900 has 432 divisors, whose sum is σ = 108080941043712. Its totient is φ = 11449335744000.

The previous prime is 37949146771891. The next prime is 37949146771919. The reversal of 37949146771900 is 917764194973.

It is a happy number.

37949146771900 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 2×37949146771900² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (67).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 132161485 + ... + 132448315.

Almost surely, 2^{37949146771900} 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 37949146771900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54040470521856).

37949146771900 is an abundant number, since it is smaller than the sum of its proper divisors (70131794271812).

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

37949146771900 is a wasteful number, since it uses less digits than its factorization.

37949146771900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286970 (or 286956 counting only the distinct ones).

The product of its (nonzero) digits is 72013536, while the sum is 67.

The spelling of 37949146771900 in words is "thirty-seven trillion, nine hundred forty-nine billion, one hundred forty-six million, seven hundred seventy-one thousand, nine hundred".