34628567040 has 576 divisors, whose sum is σ = 130861785600. Its totient is φ = 8663334912.

The previous prime is 34628567003. The next prime is 34628567101. The reversal of 34628567040 is 4076582643.

34628567040 is a `hidden beast` number, since 3 + 46 + 2 + 8 + 567 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 336199629 + ... + 336199731.

It is an arithmetic number, because the mean of its divisors is an integer number (227190600).

Almost surely, 2^34628567040 is an apocalyptic number.

34628567040 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 34628567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65430892800).

34628567040 is an abundant number, since it is smaller than the sum of its proper divisors (96233218560).

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

34628567040 is an equidigital number, since it uses as much as digits as its factorization.

34628567040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 34628567040 in words is "thirty-four billion, six hundred twenty-eight million, five hundred sixty-seven thousand, forty".