3413793600 has 840 divisors, whose sum is σ = 14817230208. Its totient is φ = 754790400.

The previous prime is 3413793599. The next prime is 3413793611. The reversal of 3413793600 is 63973143.

3413793600 is a `hidden beast` number, since 3 + 41 + 3 + 7 + 9 + 3 + 600 = 666.

3413793600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (840).

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 119 ways as a sum of consecutive naturals, for example, 48081565 + ... + 48081635.

Almost surely, 2^3413793600 is an apocalyptic number.

3413793600 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 3413793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7408615104).

3413793600 is an abundant number, since it is smaller than the sum of its proper divisors (11403436608).

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

3413793600 is a wasteful number, since it uses less digits than its factorization.

3413793600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 3413793600 is about 58427.6783724974. The cubic root of 3413793600 is about 1505.7253193424.

The spelling of 3413793600 in words is "three billion, four hundred thirteen million, seven hundred ninety-three thousand, six hundred".