34364616 has 256 divisors, whose sum is σ = 116121600. Its totient is φ = 8294400.

The previous prime is 34364593. The next prime is 34364621. The reversal of 34364616 is 61646343.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (31104) is a multiple of the sum of its prime divisors (96).

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, 1108521 + ... + 1108551.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 2^34364616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34364616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58060800).

34364616 is an abundant number, since it is smaller than the sum of its proper divisors (81756984).

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

34364616 is a wasteful number, since it uses less digits than its factorization.

34364616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 96 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 34364616 is about 5862.1340823970. The cubic root of 34364616 is about 325.1151181935.

It can be divided in two parts, 34364 and 616, that added together give a triangular number (34980 = T₂₆₄).

The spelling of 34364616 in words is "thirty-four million, three hundred sixty-four thousand, six hundred sixteen".