3493724400 has 300 divisors, whose sum is σ = 13278359952. Its totient is φ = 876718080.

The previous prime is 3493724393. The next prime is 3493724413. The reversal of 3493724400 is 44273943.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×3493724400² = 24412220366310720000, 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, 547629 + ... + 553971.

Almost surely, 2^3493724400 is an apocalyptic number.

3493724400 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 3493724400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6639179976).

3493724400 is an abundant number, since it is smaller than the sum of its proper divisors (9784635552).

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

3493724400 is a wasteful number, since it uses less digits than its factorization.

3493724400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6390 (or 6370 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3493724400 is about 59107.7355343613. The cubic root of 3493724400 is about 1517.3864945722.

The spelling of 3493724400 in words is "three billion, four hundred ninety-three million, seven hundred twenty-four thousand, four hundred".