34013465400 has 96 divisors (see below), whose sum is σ = 105497533440. Its totient is φ = 9065458560.

The previous prime is 34013465399. The next prime is 34013465401. The reversal of 34013465400 is 456431043.

It is an interprime number because it is at equal distance from previous prime (34013465399) and next prime (34013465401).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34013465401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1202217 + ... + 1230183.

It is an arithmetic number, because the mean of its divisors is an integer number (1098932640).

Almost surely, 2^34013465400 is an apocalyptic number.

34013465400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34013465400 is an abundant number, since it is smaller than the sum of its proper divisors (71484068040).

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

34013465400 is a wasteful number, since it uses less digits than its factorization.

34013465400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30013 (or 30004 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 34013465400 its reverse (456431043), we get a palindrome (34469896443).

The spelling of 34013465400 in words is "thirty-four billion, thirteen million, four hundred sixty-five thousand, four hundred".