38177252100 has 405 divisors, whose sum is σ = 134814754767. Its totient is φ = 9341205120.

The previous prime is 38177252081. The next prime is 38177252117. The reversal of 38177252100 is 125277183.

The square root of 38177252100 is 195390.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9840243204 + 28337008896 = 99198^2 + 168336^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 228606217 + ... + 228606383.

Almost surely, 2^38177252100 is an apocalyptic number.

38177252100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38177252100 is the 195390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38177252100

38177252100 is an abundant number, since it is smaller than the sum of its proper divisors (96637502667).

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

38177252100 is a wasteful number, since it uses less digits than its factorization.

38177252100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

Multiplying 38177252100 by its sum of digits (36), we get a square (1374381075600 = 1172340²).

38177252100 divided by its sum of digits (36) gives a square (1060479225 = 32565²).

The spelling of 38177252100 in words is "thirty-eight billion, one hundred seventy-seven million, two hundred fifty-two thousand, one hundred".