37828080850364 has 96 divisors (see below), whose sum is σ = 80946518196096. Its totient is φ = 15098561740800.

The previous prime is 37828080850309. The next prime is 37828080850379. The reversal of 37828080850364 is 46305808082873.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 37828080850297 and 37828080850306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83088692 + ... + 83542724.

It is an arithmetic number, because the mean of its divisors is an integer number (843192897876).

Almost surely, 2^{37828080850364} is an apocalyptic number.

37828080850364 is a gapful number since it is divisible by the number (34) 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 37828080850364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40473259098048).

37828080850364 is an abundant number, since it is smaller than the sum of its proper divisors (43118437345732).

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

37828080850364 is a wasteful number, since it uses less digits than its factorization.

37828080850364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455895 (or 455893 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 62.

The spelling of 37828080850364 in words is "thirty-seven trillion, eight hundred twenty-eight billion, eighty million, eight hundred fifty thousand, three hundred sixty-four".