3621462240 has 288 divisors, whose sum is σ = 13088936448. Its totient is φ = 839449600.

The previous prime is 3621462233. The next prime is 3621462259. The reversal of 3621462240 is 422641263.

3621462240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3621462240² = 26229977511491635200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3621462198 and 3621462207.

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, 1334485 + ... + 1337195.

It is an arithmetic number, because the mean of its divisors is an integer number (45447696).

Almost surely, 2^3621462240 is an apocalyptic number.

3621462240 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 3621462240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6544468224).

3621462240 is an abundant number, since it is smaller than the sum of its proper divisors (9467474208).

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

3621462240 is a wasteful number, since it uses less digits than its factorization.

3621462240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 3621462240 is about 60178.5862246697. The cubic root of 3621462240 is about 1535.6585205515.

The spelling of 3621462240 in words is "three billion, six hundred twenty-one million, four hundred sixty-two thousand, two hundred forty".