33362075340 has 192 divisors, whose sum is σ = 119889745920. Its totient is φ = 7612001280.

The previous prime is 33362075333. The next prime is 33362075387. The reversal of 33362075340 is 4357026333.

It is a super-2 number, since 2×33362075340² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33362075295 and 33362075304.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64212 + ... + 266171.

It is an arithmetic number, because the mean of its divisors is an integer number (624425760).

Almost surely, 2^33362075340 is an apocalyptic number.

33362075340 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 33362075340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59944872960).

33362075340 is an abundant number, since it is smaller than the sum of its proper divisors (86527670580).

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

33362075340 is a wasteful number, since it uses less digits than its factorization.

33362075340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330429 (or 330421 counting only the distinct ones).

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

The spelling of 33362075340 in words is "thirty-three billion, three hundred sixty-two million, seventy-five thousand, three hundred forty".