29742451600 has 45 divisors (see below), whose sum is σ = 71464527633. Its totient is φ = 11895600960.

The previous prime is 29742451567. The next prime is 29742451639. The reversal of 29742451600 is 615424792.

The square root of 29742451600 is 172460.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10707282576 + 19035169024 = 103476^2 + 137968^2 .

It is a super-2 number, since 2×29742451600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3444889 + ... + 3453511.

Almost surely, 2^29742451600 is an apocalyptic number.

29742451600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29742451600 is the 172460-th square number.

It is an amenable number.

29742451600 is an abundant number, since it is smaller than the sum of its proper divisors (41722076033).

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

29742451600 is an frugal number, since it uses more digits than its factorization.

29742451600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17264 (or 8630 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 29742451600 in words is "twenty-nine billion, seven hundred forty-two million, four hundred fifty-one thousand, six hundred".