3621421440 has 1024 divisors, whose sum is σ = 16450560000. Its totient is φ = 747823104.

The previous prime is 3621421423. The next prime is 3621421459. The reversal of 3621421440 is 441241263.

It is a happy number.

3621421440 is a `hidden beast` number, since 3 + 6 + 214 + 2 + 1 + 440 = 666.

It is a super-2 number, since 2×3621421440² = 26229386492183347200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77051497 + ... + 77051543.

It is an arithmetic number, because the mean of its divisors is an integer number (16065000).

Almost surely, 2^3621421440 is an apocalyptic number.

3621421440 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 3621421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8225280000).

3621421440 is an abundant number, since it is smaller than the sum of its proper divisors (12829138560).

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

3621421440 is a wasteful number, since it uses less digits than its factorization.

3621421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3621421440 is about 60178.2472327003. The cubic root of 3621421440 is about 1535.6527535345.

The spelling of 3621421440 in words is "three billion, six hundred twenty-one million, four hundred twenty-one thousand, four hundred forty".