3626084880 has 480 divisors, whose sum is σ = 14247088128. Its totient is φ = 849139200.

The previous prime is 3626084879. The next prime is 3626084897. The reversal of 3626084880 is 884806263.

It is a happy number.

3626084880 is a `hidden beast` number, since 36 + 2 + 608 + 4 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×3626084880² = 26296983113929228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6628767 + ... + 6629313.

Almost surely, 2^3626084880 is an apocalyptic number.

3626084880 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 3626084880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7123544064).

3626084880 is an abundant number, since it is smaller than the sum of its proper divisors (10621003248).

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

3626084880 is a wasteful number, since it uses less digits than its factorization.

3626084880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 3626084880 is about 60216.9816580008. The cubic root of 3626084880 is about 1536.3116433085.

The spelling of 3626084880 in words is "three billion, six hundred twenty-six million, eighty-four thousand, eight hundred eighty".