3500229392100 has 729 divisors, whose sum is σ = 13069029108681. Its totient is φ = 781283664000.

The previous prime is 3500229392063. The next prime is 3500229392113. The reversal of 3500229392100 is 12939220053.

The square root of 3500229392100 is 1870890.

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

3500229392100 is a `hidden beast` number, since 35 + 0 + 0 + 229 + 392 + 10 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1260082581156 + 2240146810944 = 1122534^2 + 1496712^2 .

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 242 ways as a sum of consecutive naturals, for example, 23180327025 + ... + 23180327175.

Almost surely, 2^{3500229392100} is an apocalyptic number.

3500229392100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3500229392100 is the 1870890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3500229392100

3500229392100 is an abundant number, since it is smaller than the sum of its proper divisors (9568799716581).

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

3500229392100 is a wasteful number, since it uses less digits than its factorization.

3500229392100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

Multiplying 3500229392100 by its sum of digits (36), we get a square (126008258115600 = 11225340²).

3500229392100 divided by its sum of digits (36) gives a square (97228594225 = 311815²).

The spelling of 3500229392100 in words is "three trillion, five hundred billion, two hundred twenty-nine million, three hundred ninety-two thousand, one hundred".