3416402500 has 135 divisors (see below), whose sum is σ = 8743094283. Its totient is φ = 1164324000.

The previous prime is 3416402471. The next prime is 3416402519. The reversal of 3416402500 is 52046143.

The square root of 3416402500 is 58450.

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 267845956 + 3148556544 = 16366^2 + 56112^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 20457417 + ... + 20457583.

Almost surely, 2^3416402500 is an apocalyptic number.

3416402500 is the 58450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3416402500

3416402500 is an abundant number, since it is smaller than the sum of its proper divisors (5326691783).

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

3416402500 is an equidigital number, since it uses as much as digits as its factorization.

3416402500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The cubic root of 3416402500 is about 1506.1087917072.

Multiplying 3416402500 by its sum of digits (25), we get a square (85410062500 = 292250²).

3416402500 divided by its sum of digits (25) gives a square (136656100 = 11690²).

Adding to 3416402500 its reverse (52046143), we get a palindrome (3468448643).

The spelling of 3416402500 in words is "three billion, four hundred sixteen million, four hundred two thousand, five hundred".