34365800040 has 128 divisors (see below), whose sum is σ = 121121481600. Its totient is φ = 7690245120.

The previous prime is 34365800017. The next prime is 34365800041. The reversal of 34365800040 is 4000856343.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 34365799974 and 34365800010.

It is not an unprimeable number, because it can be changed into a prime (34365800041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 984175 + ... + 1018494.

It is an arithmetic number, because the mean of its divisors is an integer number (946261575).

Almost surely, 2^34365800040 is an apocalyptic number.

34365800040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34365800040 is an abundant number, since it is smaller than the sum of its proper divisors (86755681560).

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

34365800040 is a wasteful number, since it uses less digits than its factorization.

34365800040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002707 (or 2002703 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 34365800040 in words is "thirty-four billion, three hundred sixty-five million, eight hundred thousand, forty".