3626038080 has 336 divisors, whose sum is σ = 14373051264. Its totient is φ = 821882880.

The previous prime is 3626038051. The next prime is 3626038111. The reversal of 3626038080 is 808306263.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3626038080² = 26296304315220172800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2640274 + ... + 2641646.

Almost surely, 2^3626038080 is an apocalyptic number.

3626038080 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 3626038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7186525632).

3626038080 is an abundant number, since it is smaller than the sum of its proper divisors (10747013184).

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

3626038080 is a wasteful number, since it uses less digits than its factorization.

3626038080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3626038080 is about 60216.5930620456. The cubic root of 3626038080 is about 1536.3050338204.

The spelling of 3626038080 in words is "three billion, six hundred twenty-six million, thirty-eight thousand, eighty".