38180835 has 64 divisors (see below), whose sum is σ = 84648960. Its totient is φ = 15863040.

The previous prime is 38180819. The next prime is 38180843. The reversal of 38180835 is 53808183.

It is a happy number.

It is not a de Polignac number, because 38180835 - 2⁴ = 38180819 is a prime.

It is a super-3 number, since 3×38180835³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 38180835.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8559 + ... + 12231.

It is an arithmetic number, because the mean of its divisors is an integer number (1322640).

Almost surely, 2^38180835 is an apocalyptic number.

38180835 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

38180835 is an abundant number, since it is smaller than the sum of its proper divisors (46468125).

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

38180835 is a wasteful number, since it uses less digits than its factorization.

38180835 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3705 (or 3699 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 38180835 is about 6179.0642495446. The cubic root of 38180835 is about 336.7299976711.

The spelling of 38180835 in words is "thirty-eight million, one hundred eighty thousand, eight hundred thirty-five".