3496316400 has 450 divisors, whose sum is σ = 13176032672. Its totient is φ = 886982400.

The previous prime is 3496316399. The next prime is 3496316449. The reversal of 3496316400 is 46136943.

3496316400 is a `hidden beast` number, since 3 + 4 + 9 + 6 + 3 + 1 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (450).

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 89 ways as a sum of consecutive naturals, for example, 59259571 + ... + 59259629.

Almost surely, 2^3496316400 is an apocalyptic number.

3496316400 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 3496316400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6588016336).

3496316400 is an abundant number, since it is smaller than the sum of its proper divisors (9679716272).

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

3496316400 is a wasteful number, since it uses less digits than its factorization.

3496316400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3496316400 is about 59129.6575332548. The cubic root of 3496316400 is about 1517.7616523404.

The spelling of 3496316400 in words is "three billion, four hundred ninety-six million, three hundred sixteen thousand, four hundred".