34461840 has 160 divisors (see below), whose sum is σ = 124206336. Its totient is φ = 7741440.

The previous prime is 34461809. The next prime is 34461871. The reversal of 34461840 is 4816443.

It is an interprime number because it is at equal distance from previous prime (34461809) and next prime (34461871).

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

It is a junction number, because it is equal to n+sod(n) for n = 34461798 and 34461807.

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, 122500 + ... + 122780.

Almost surely, 2^34461840 is an apocalyptic number.

34461840 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 34461840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62103168).

34461840 is an abundant number, since it is smaller than the sum of its proper divisors (89744496).

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

34461840 is a wasteful number, since it uses less digits than its factorization.

34461840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 34461840 is about 5870.4207685651. The cubic root of 34461840 is about 325.4214335592.

The spelling of 34461840 in words is "thirty-four million, four hundred sixty-one thousand, eight hundred forty".