33742472400 has 1440 divisors, whose sum is σ = 157573248000. Its totient is φ = 6696069120.

The previous prime is 33742472347. The next prime is 33742472429. The reversal of 33742472400 is 427424733.

33742472400 is a `hidden beast` number, since 3 + 3 + 7 + 4 + 247 + 2 + 400 = 666.

It is a super-2 number, since 2×33742472400² (a number of 22 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 242751531 + ... + 242751669.

Almost surely, 2^33742472400 is an apocalyptic number.

33742472400 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 33742472400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78786624000).

33742472400 is an abundant number, since it is smaller than the sum of its proper divisors (123830775600).

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

33742472400 is a wasteful number, since it uses less digits than its factorization.

33742472400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The spelling of 33742472400 in words is "thirty-three billion, seven hundred forty-two million, four hundred seventy-two thousand, four hundred".