3407434000 has 40 divisors (see below), whose sum is σ = 8239180248. Its totient is φ = 1362972800.

The previous prime is 3407433983. The next prime is 3407434001. The reversal of 3407434000 is 4347043.

It can be written as a sum of positive squares in 4 ways, for example, as 85525504 + 3321908496 = 9248^2 + 57636^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3407434000² = 23221212928712000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3407434001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 849859 + ... + 853858.

Almost surely, 2^3407434000 is an apocalyptic number.

It is an amenable number.

3407434000 is an abundant number, since it is smaller than the sum of its proper divisors (4831746248).

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

3407434000 is a wasteful number, since it uses less digits than its factorization.

3407434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703740 (or 1703724 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 25.

The square root of 3407434000 is about 58373.2301658903. The cubic root of 3407434000 is about 1504.7897264384.

The spelling of 3407434000 in words is "three billion, four hundred seven million, four hundred thirty-four thousand".