3632425247400 has 192 divisors, whose sum is σ = 11441137958400. Its totient is φ = 953141333760.

The previous prime is 3632425247359. The next prime is 3632425247453. The reversal of 3632425247400 is 47425242363.

It is a happy 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, 36894639 + ... + 36992961.

It is an arithmetic number, because the mean of its divisors is an integer number (59589260200).

Almost surely, 2^{3632425247400} is an apocalyptic number.

3632425247400 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 3632425247400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5720568979200).

3632425247400 is an abundant number, since it is smaller than the sum of its proper divisors (7808712711000).

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

3632425247400 is a wasteful number, since it uses less digits than its factorization.

3632425247400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99328 (or 99319 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 42.

The spelling of 3632425247400 in words is "three trillion, six hundred thirty-two billion, four hundred twenty-five million, two hundred forty-seven thousand, four hundred".