3432690000 has 300 divisors, whose sum is σ = 12297638496. Its totient is φ = 893088000.

The previous prime is 3432689987. The next prime is 3432690049. The reversal of 3432690000 is 962343.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×3432690000² = 23566721272200000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3869557 + ... + 3870443.

Almost surely, 2^3432690000 is an apocalyptic number.

3432690000 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 3432690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6148819248).

3432690000 is an abundant number, since it is smaller than the sum of its proper divisors (8864948496).

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

3432690000 is a wasteful number, since it uses less digits than its factorization.

3432690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3432690000 is about 58589.1628204398. The cubic root of 3432690000 is about 1508.4984268959.

The spelling of 3432690000 in words is "three billion, four hundred thirty-two million, six hundred ninety thousand".