3497684400 has 180 divisors, whose sum is σ = 13872027312. Its totient is φ = 799464960.

The previous prime is 3497684317. The next prime is 3497684459. The reversal of 3497684400 is 44867943.

3497684400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44199 + ... + 94598.

Almost surely, 2^3497684400 is an apocalyptic number.

3497684400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3497684400 is an abundant number, since it is smaller than the sum of its proper divisors (10374342912).

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

3497684400 is a wasteful number, since it uses less digits than its factorization.

3497684400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138828 (or 138814 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3497684400 is about 59141.2242010596. The cubic root of 3497684400 is about 1517.9595775245.

The spelling of 3497684400 in words is "three billion, four hundred ninety-seven million, six hundred eighty-four thousand, four hundred".