3402638000 has 80 divisors (see below), whose sum is σ = 8245844256. Its totient is φ = 1358035200.

The previous prime is 3402637951. The next prime is 3402638003. The reversal of 3402638000 is 8362043.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (3402638003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1044374 + ... + 1047626.

Almost surely, 2^3402638000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3402638000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4122922128).

3402638000 is an abundant number, since it is smaller than the sum of its proper divisors (4843206256).

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

3402638000 is a wasteful number, since it uses less digits than its factorization.

3402638000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3799 (or 3783 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 3402638000 is about 58332.1352257913. The cubic root of 3402638000 is about 1504.0833923694.

The spelling of 3402638000 in words is "three billion, four hundred two million, six hundred thirty-eight thousand".