3626376480 has 288 divisors, whose sum is σ = 13511534400. Its totient is φ = 915950592.

The previous prime is 3626376469. The next prime is 3626376493. The reversal of 3626376480 is 846736263.

3626376480 is a `hidden beast` number, since 3 + 6 + 2 + 637 + 6 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 736266 + ... + 741174.

It is an arithmetic number, because the mean of its divisors is an integer number (46915050).

Almost surely, 2^3626376480 is an apocalyptic number.

3626376480 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 3626376480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6755767200).

3626376480 is an abundant number, since it is smaller than the sum of its proper divisors (9885157920).

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

3626376480 is a wasteful number, since it uses less digits than its factorization.

3626376480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4958 (or 4938 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 3626376480 is about 60219.4028532333. The cubic root of 3626376480 is about 1536.3528242224.

The spelling of 3626376480 in words is "three billion, six hundred twenty-six million, three hundred seventy-six thousand, four hundred eighty".