33874453632 has 256 divisors, whose sum is σ = 96711667200. Its totient is φ = 10485350400.

The previous prime is 33874453631. The next prime is 33874453649. The reversal of 33874453632 is 23635447833.

It is a super-3 number, since 3×33874453632³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (4354560) is a multiple of the sum of its prime factors (1215).

It is not an unprimeable number, because it can be changed into a prime (33874453631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31926382 + ... + 31927442.

It is an arithmetic number, because the mean of its divisors is an integer number (377779950).

Almost surely, 2^33874453632 is an apocalyptic number.

33874453632 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 33874453632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48355833600).

33874453632 is an abundant number, since it is smaller than the sum of its proper divisors (62837213568).

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

33874453632 is a wasteful number, since it uses less digits than its factorization.

33874453632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1203 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 48.

The spelling of 33874453632 in words is "thirty-three billion, eight hundred seventy-four million, four hundred fifty-three thousand, six hundred thirty-two".