34533917460 has 480 divisors, whose sum is σ = 129032386560. Its totient is φ = 7564741632.

The previous prime is 34533917459. The next prime is 34533917461. The reversal of 34533917460 is 6471933543.

It is an interprime number because it is at equal distance from previous prime (34533917459) and next prime (34533917461).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34533917461) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 56892477 + ... + 56893083.

It is an arithmetic number, because the mean of its divisors is an integer number (268817472).

Almost surely, 2^34533917460 is an apocalyptic number.

34533917460 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 34533917460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64516193280).

34533917460 is an abundant number, since it is smaller than the sum of its proper divisors (94498469100).

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

34533917460 is a wasteful number, since it uses less digits than its factorization.

34533917460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 34533917460 in words is "thirty-four billion, five hundred thirty-three million, nine hundred seventeen thousand, four hundred sixty".