3494457600 has 216 divisors, whose sum is σ = 11846533440. Its totient is φ = 906485760.

The previous prime is 3494457521. The next prime is 3494457613. The reversal of 3494457600 is 67544943.

It is a super-2 number, since 2×3494457600² = 24422467836395520000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 707941 + ... + 712859.

Almost surely, 2^3494457600 is an apocalyptic number.

3494457600 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 3494457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5923266720).

3494457600 is an abundant number, since it is smaller than the sum of its proper divisors (8352075840).

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

3494457600 is a wasteful number, since it uses less digits than its factorization.

3494457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4985 (or 4966 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 3494457600 is about 59113.9374428738. The cubic root of 3494457600 is about 1517.4926344039.

The spelling of 3494457600 in words is "three billion, four hundred ninety-four million, four hundred fifty-seven thousand, six hundred".