33742016100 has 405 divisors, whose sum is σ = 119198404017. Its totient is φ = 8252824320.

The previous prime is 33742016059. The next prime is 33742016183. The reversal of 33742016100 is 161024733.

The square root of 33742016100 is 183690.

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

33742016100 is a `hidden beast` number, since 3 + 3 + 7 + 42 + 0 + 1 + 610 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 33689134116 + 52881984 = 183546^2 + 7272^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×33742016100² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 214917222 + ... + 214917378.

Almost surely, 2^33742016100 is an apocalyptic number.

33742016100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33742016100 is the 183690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33742016100

33742016100 is an abundant number, since it is smaller than the sum of its proper divisors (85456387917).

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

33742016100 is a wasteful number, since it uses less digits than its factorization.

33742016100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 33742016100 in words is "thirty-three billion, seven hundred forty-two million, sixteen thousand, one hundred".