33742987740 has 144 divisors (see below), whose sum is σ = 127609896960. Its totient is φ = 7011527040.

The previous prime is 33742987739. The next prime is 33742987753. The reversal of 33742987740 is 4778924733.

It is a super-2 number, since 2×33742987740² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1203420 + ... + 1231139.

It is an arithmetic number, because the mean of its divisors is an integer number (886179840).

Almost surely, 2^33742987740 is an apocalyptic number.

33742987740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33742987740 is an abundant number, since it is smaller than the sum of its proper divisors (93866909220).

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

33742987740 is a wasteful number, since it uses less digits than its factorization.

33742987740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434592 (or 2434587 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 33742987740 in words is "thirty-three billion, seven hundred forty-two million, nine hundred eighty-seven thousand, seven hundred forty".