33349413960 has 320 divisors, whose sum is σ = 117352730880. Its totient is φ = 8478328320.

The previous prime is 33349413959. The next prime is 33349414001. The reversal of 33349413960 is 6931494333.

It is a super-2 number, since 2×33349413960² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31372389 + ... + 31373451.

It is an arithmetic number, because the mean of its divisors is an integer number (366727284).

Almost surely, 2^33349413960 is an apocalyptic number.

33349413960 is a gapful number since it is divisible by the number (30) 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 33349413960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58676365440).

33349413960 is an abundant number, since it is smaller than the sum of its proper divisors (84003316920).

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

33349413960 is a wasteful number, since it uses less digits than its factorization.

33349413960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The spelling of 33349413960 in words is "thirty-three billion, three hundred forty-nine million, four hundred thirteen thousand, nine hundred sixty".