3369802500 has 315 divisors, whose sum is σ = 11311490883. Its totient is φ = 877716000.

The previous prime is 3369802489. The next prime is 3369802507. The reversal of 3369802500 is 52089633.

3369802500 = 316² + 317² + ... + 2164².

The square root of 3369802500 is 58050.

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

It can be written as a sum of positive squares in 2 ways, for example, as 264192516 + 3105609984 = 16254^2 + 55728^2 .

It is a super-2 number, since 2×3369802500² = 22711137778012500000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3369802507) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 78367479 + ... + 78367521.

Almost surely, 2^3369802500 is an apocalyptic number.

3369802500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3369802500 is the 58050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3369802500

3369802500 is an abundant number, since it is smaller than the sum of its proper divisors (7941688383).

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

3369802500 is an frugal number, since it uses more digits than its factorization.

3369802500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The cubic root of 3369802500 is about 1499.2296043948.

Multiplying 3369802500 by its sum of digits (36), we get a square (121312890000 = 348300²).

3369802500 divided by its sum of digits (36) gives a square (93605625 = 9675²).

The spelling of 3369802500 in words is "three billion, three hundred sixty-nine million, eight hundred two thousand, five hundred".