3404678400 has 864 divisors, whose sum is σ = 14142844800. Its totient is φ = 796262400.

The previous prime is 3404678399. The next prime is 3404678401. The reversal of 3404678400 is 48764043.

It is an interprime number because it is at equal distance from previous prime (3404678399) and next prime (3404678401).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3404678401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55814370 + ... + 55814430.

Almost surely, 2^3404678400 is an apocalyptic number.

3404678400 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 3404678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7071422400).

3404678400 is an abundant number, since it is smaller than the sum of its proper divisors (10738166400).

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

3404678400 is a wasteful number, since it uses less digits than its factorization.

3404678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3404678400 is about 58349.6221067455. The cubic root of 3404678400 is about 1504.3839746948.

The spelling of 3404678400 in words is "three billion, four hundred four million, six hundred seventy-eight thousand, four hundred".