3426746400 has 648 divisors, whose sum is σ = 15351611184. Its totient is φ = 711244800.

The previous prime is 3426746399. The next prime is 3426746437. The reversal of 3426746400 is 46476243.

3426746400 is a `hidden beast` number, since 3 + 4 + 2 + 6 + 7 + 4 + 640 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3880359 + ... + 3881241.

It is an arithmetic number, because the mean of its divisors is an integer number (23690758).

Almost surely, 2^3426746400 is an apocalyptic number.

3426746400 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 3426746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7675805592).

3426746400 is an abundant number, since it is smaller than the sum of its proper divisors (11924864784).

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

3426746400 is a wasteful number, since it uses less digits than its factorization.

3426746400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 3426746400 is about 58538.4181542344. The cubic root of 3426746400 is about 1507.6272839566.

The spelling of 3426746400 in words is "three billion, four hundred twenty-six million, seven hundred forty-six thousand, four hundred".