33036740352 has 1008 divisors, whose sum is σ = 130828427520. Its totient is φ = 8129341440.

The previous prime is 33036740329. The next prime is 33036740377. The reversal of 33036740352 is 25304763033.

It is a tau number, because it is divible by the number of its divisors (1008).

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 111 ways as a sum of consecutive naturals, for example, 1738775799 + ... + 1738775817.

Almost surely, 2^33036740352 is an apocalyptic number.

33036740352 is a gapful number since it is divisible by the number (32) 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 33036740352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65414213760).

33036740352 is an abundant number, since it is smaller than the sum of its proper divisors (97791687168).

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

33036740352 is an frugal number, since it uses more digits than its factorization.

33036740352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 36.

The spelling of 33036740352 in words is "thirty-three billion, thirty-six million, seven hundred forty thousand, three hundred fifty-two".