34377480 has 128 divisors (see below), whose sum is σ = 115920000. Its totient is φ = 9061632.

The previous prime is 34377463. The next prime is 34377491. The reversal of 34377480 is 8477343.

It is a super-2 number, since 2×34377480² = 2363622262300800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150006 + ... + 150234.

It is an arithmetic number, because the mean of its divisors is an integer number (905625).

Almost surely, 2^34377480 is an apocalyptic number.

34377480 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 34377480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57960000).

34377480 is an abundant number, since it is smaller than the sum of its proper divisors (81542520).

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

34377480 is a wasteful number, since it uses less digits than its factorization.

34377480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 34377480 is about 5863.2311910754. The cubic root of 34377480 is about 325.1556808382.

The spelling of 34377480 in words is "thirty-four million, three hundred seventy-seven thousand, four hundred eighty".