34467840 has 312 divisors, whose sum is σ = 138001968. Its totient is φ = 7864320.

The previous prime is 34467833. The next prime is 34467841. The reversal of 34467840 is 4876443.

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

It is a junction number, because it is equal to n+sod(n) for n = 34467795 and 34467804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34467841) 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, 2027512 + ... + 2027528.

It is an arithmetic number, because the mean of its divisors is an integer number (442314).

Almost surely, 2^34467840 is an apocalyptic number.

34467840 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 34467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69000984).

34467840 is an abundant number, since it is smaller than the sum of its proper divisors (103534128).

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

34467840 is a wasteful number, since it uses less digits than its factorization.

34467840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 34467840 is about 5870.9317829455. The cubic root of 34467840 is about 325.4403183633.

The spelling of 34467840 in words is "thirty-four million, four hundred sixty-seven thousand, eight hundred forty".