39239648100 has 405 divisors, whose sum is σ = 133312276713. Its totient is φ = 9983736000.

The previous prime is 39239648033. The next prime is 39239648113. The reversal of 39239648100 is 184693293.

It is a happy number.

The square root of 39239648100 is 198090.

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

It can be written as a sum of positive squares in only one way, i.e., 14126273316 + 25113374784 = 118854^2 + 158472^2 .

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

It is a super-2 number, since 2×39239648100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 552671065 + ... + 552671135.

Almost surely, 2^39239648100 is an apocalyptic number.

39239648100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

39239648100 is the 198090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39239648100

39239648100 is an abundant number, since it is smaller than the sum of its proper divisors (94072628613).

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

39239648100 is a wasteful number, since it uses less digits than its factorization.

39239648100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 39239648100 in words is "thirty-nine billion, two hundred thirty-nine million, six hundred forty-eight thousand, one hundred".