3632493480 has 512 divisors, whose sum is σ = 14183424000. Its totient is φ = 737587200.

The previous prime is 3632493451. The next prime is 3632493509. The reversal of 3632493480 is 843942363.

3632493480 = T₁₀₀₈₀ + T₁₀₀₈₁ + ... + T₁₀₁₅₀.

It is an interprime number because it is at equal distance from previous prime (3632493451) and next prime (3632493509).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 32145904 + ... + 32146016.

It is an arithmetic number, because the mean of its divisors is an integer number (27702000).

Almost surely, 2^3632493480 is an apocalyptic number.

3632493480 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 3632493480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7091712000).

3632493480 is an abundant number, since it is smaller than the sum of its proper divisors (10550930520).

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

3632493480 is a wasteful number, since it uses less digits than its factorization.

3632493480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The square root of 3632493480 is about 60270.1707314655. The cubic root of 3632493480 is about 1537.2161829213.

The spelling of 3632493480 in words is "three billion, six hundred thirty-two million, four hundred ninety-three thousand, four hundred eighty".