3451694400 has 756 divisors, whose sum is σ = 15465669856. Its totient is φ = 714700800.

The previous prime is 3451694371. The next prime is 3451694419. The reversal of 3451694400 is 44961543.

3451694400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 107 ways as a sum of consecutive naturals, for example, 12196659 + ... + 12196941.

Almost surely, 2^3451694400 is an apocalyptic number.

3451694400 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 3451694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7732834928).

3451694400 is an abundant number, since it is smaller than the sum of its proper divisors (12013975456).

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

3451694400 is a wasteful number, since it uses less digits than its factorization.

3451694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 311 counting only the distinct ones).

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

The square root of 3451694400 is about 58751.1225424672. The cubic root of 3451694400 is about 1511.2771383001.

The spelling of 3451694400 in words is "three billion, four hundred fifty-one million, six hundred ninety-four thousand, four hundred".