38829090897270 has 96 divisors (see below), whose sum is σ = 103549993747200. Its totient is φ = 10089485727552.

The previous prime is 38829090897253. The next prime is 38829090897287. The reversal of 38829090897270 is 7279809092883.

38829090897270 is a `hidden beast` number, since 38 + 82 + 90 + 90 + 89 + 7 + 270 = 666.

It is an interprime number because it is at equal distance from previous prime (38829090897253) and next prime (38829090897287).

It is a congruent number.

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, 10351450 + ... + 13594509.

It is an arithmetic number, because the mean of its divisors is an integer number (1078645768200).

Almost surely, 2^{38829090897270} is an apocalyptic number.

38829090897270 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38829090897270 is an abundant number, since it is smaller than the sum of its proper divisors (64720902849930).

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

38829090897270 is a wasteful number, since it uses less digits than its factorization.

38829090897270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23946434 (or 23946431 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 38829090897270 in words is "thirty-eight trillion, eight hundred twenty-nine billion, ninety million, eight hundred ninety-seven thousand, two hundred seventy".