34667640 has 96 divisors (see below), whose sum is σ = 128774880. Its totient is φ = 7923456.

The previous prime is 34667621. The next prime is 34667657. The reversal of 34667640 is 4676643.

34667640 is a `hidden beast` number, since 3 + 4 + 6 + 6 + 7 + 640 = 666.

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 = 34667595 and 34667604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4359 + ... + 9398.

It is an arithmetic number, because the mean of its divisors is an integer number (1341405).

Almost surely, 2^34667640 is an apocalyptic number.

34667640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34667640 is an abundant number, since it is smaller than the sum of its proper divisors (94107240).

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

34667640 is a wasteful number, since it uses less digits than its factorization.

34667640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13781 (or 13774 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 34667640 is about 5887.9232331952. The cubic root of 34667640 is about 326.0679347049.

The spelling of 34667640 in words is "thirty-four million, six hundred sixty-seven thousand, six hundred forty".