3420597600 has 360 divisors, whose sum is σ = 14258181168. Its totient is φ = 781747200.

The previous prime is 3420597563. The next prime is 3420597613. The reversal of 3420597600 is 67950243.

3420597600 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 597 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×3420597600² = 23400975882251520000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 449830 + ... + 457370.

Almost surely, 2^3420597600 is an apocalyptic number.

3420597600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420597600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7129090584).

3420597600 is an abundant number, since it is smaller than the sum of its proper divisors (10837583568).

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

3420597600 is a wasteful number, since it uses less digits than its factorization.

3420597600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7580 (or 7558 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3420597600 is about 58485.8752178678. The cubic root of 3420597600 is about 1506.7250044849.

The spelling of 3420597600 in words is "three billion, four hundred twenty million, five hundred ninety-seven thousand, six hundred".