34387416 has 216 divisors, whose sum is σ = 118574820. Its totient is φ = 9307872.

The previous prime is 34387391. The next prime is 34387421. The reversal of 34387416 is 61478343.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1809855 + ... + 1809873.

Almost surely, 2^34387416 is an apocalyptic number.

34387416 is a gapful number since it is divisible by the number (36) 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 34387416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59287410).

34387416 is an abundant number, since it is smaller than the sum of its proper divisors (84187404).

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

34387416 is a wasteful number, since it uses less digits than its factorization.

34387416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 31 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 34387416 is about 5864.0784442229. The cubic root of 34387416 is about 325.1870040149.

The spelling of 34387416 in words is "thirty-four million, three hundred eighty-seven thousand, four hundred sixteen".