33949973376 has 576 divisors, whose sum is σ = 116418556800. Its totient is φ = 9390919680.

The previous prime is 33949973363. The next prime is 33949973383. The reversal of 33949973376 is 67337994933.

33949973376 is a `hidden beast` number, since 3 + 3 + 9 + 499 + 73 + 3 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×33949973376² (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 71 ways as a sum of consecutive naturals, for example, 329611341 + ... + 329611443.

It is an arithmetic number, because the mean of its divisors is an integer number (202115550).

Almost surely, 2^33949973376 is an apocalyptic number.

33949973376 is a gapful number since it is divisible by the number (36) 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 33949973376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58209278400).

33949973376 is an abundant number, since it is smaller than the sum of its proper divisors (82468583424).

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

33949973376 is a wasteful number, since it uses less digits than its factorization.

33949973376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 175 counting only the distinct ones).

The product of its digits is 69441624, while the sum is 63.

The spelling of 33949973376 in words is "thirty-three billion, nine hundred forty-nine million, nine hundred seventy-three thousand, three hundred seventy-six".