33900733440 has 704 divisors, whose sum is σ = 140498219520. Its totient is φ = 7591034880.

The previous prime is 33900733439. The next prime is 33900733487. The reversal of 33900733440 is 4433700933.

It is a super-2 number, since 2×33900733440² (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 = 33900733395 and 33900733404.

It is a congruent number.

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, 51286710 + ... + 51287370.

Almost surely, 2^33900733440 is an apocalyptic number.

33900733440 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 33900733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70249109760).

33900733440 is an abundant number, since it is smaller than the sum of its proper divisors (106597486080).

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

33900733440 is a wasteful number, since it uses less digits than its factorization.

33900733440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

The spelling of 33900733440 in words is "thirty-three billion, nine hundred million, seven hundred thirty-three thousand, four hundred forty".