3439822500 has 405 divisors, whose sum is σ = 12065794741. Its totient is φ = 825792000.

The previous prime is 3439822471. The next prime is 3439822553. The reversal of 3439822500 is 52289343.

The square root of 3439822500 is 58650.

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

3439822500 is a `hidden beast` number, since 3 + 43 + 98 + 22 + 500 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 1679852196 + 1759970304 = 40986^2 + 41952^2 .

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

It is a Duffinian number.

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, 149557489 + ... + 149557511.

Almost surely, 2^3439822500 is an apocalyptic number.

3439822500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3439822500 is the 58650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3439822500

3439822500 is an abundant number, since it is smaller than the sum of its proper divisors (8625972241).

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

3439822500 is a wasteful number, since it uses less digits than its factorization.

3439822500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The cubic root of 3439822500 is about 1509.5424984185.

Multiplying 3439822500 by its sum of digits (36), we get a square (123833610000 = 351900²).

3439822500 divided by its sum of digits (36) gives a square (95550625 = 9775²).

The spelling of 3439822500 in words is "three billion, four hundred thirty-nine million, eight hundred twenty-two thousand, five hundred".