29750040324 has 243 divisors, whose sum is σ = 85269059967. Its totient is φ = 8742767616.

The previous prime is 29750040317. The next prime is 29750040337. The reversal of 29750040324 is 42304005792.

The square root of 29750040324 is 172482.

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

29750040324 is a `hidden beast` number, since 2 + 97 + 500 + 40 + 3 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39312900 + 29710727424 = 6270^2 + 172368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 334270072 + ... + 334270160.

Almost surely, 2^29750040324 is an apocalyptic number.

29750040324 is the 172482-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29750040324

29750040324 is an abundant number, since it is smaller than the sum of its proper divisors (55519019643).

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

29750040324 is a wasteful number, since it uses less digits than its factorization.

29750040324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Multiplying 29750040324 by its sum of digits (36), we get a square (1071001451664 = 1034892²).

29750040324 divided by its sum of digits (36) gives a square (826390009 = 28747²).

The spelling of 29750040324 in words is "twenty-nine billion, seven hundred fifty million, forty thousand, three hundred twenty-four".