34133760 has 108 divisors (see below), whose sum is σ = 118139112. Its totient is φ = 9099264.

The previous prime is 34133731. The next prime is 34133761. The reversal of 34133760 is 6733143.

It is a happy number.

It is a super-2 number, since 2×34133760² = 2330227143475200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34133761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10039 + ... + 13001.

Almost surely, 2^34133760 is an apocalyptic number.

34133760 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 34133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59069556).

34133760 is an abundant number, since it is smaller than the sum of its proper divisors (84005352).

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

34133760 is a wasteful number, since it uses less digits than its factorization.

34133760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2990 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 34133760 is about 5842.4104614448. The cubic root of 34133760 is about 324.3854580254.

The spelling of 34133760 in words is "thirty-four million, one hundred thirty-three thousand, seven hundred sixty".