3642150400 has 180 divisors, whose sum is σ = 10498778928. Its totient is φ = 1248522240.

The previous prime is 3642150371. The next prime is 3642150409. The reversal of 3642150400 is 40512463.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3642150409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 624297 + ... + 630103.

Almost surely, 2^3642150400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3642150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5249389464).

3642150400 is an abundant number, since it is smaller than the sum of its proper divisors (6856628528).

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

3642150400 is an equidigital number, since it uses as much as digits as its factorization.

3642150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5849 (or 5821 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 3642150400 is about 60350.2311511729. The cubic root of 3642150400 is about 1538.5771982790.

Adding to 3642150400 its reverse (40512463), we get a palindrome (3682662863).

The spelling of 3642150400 in words is "three billion, six hundred forty-two million, one hundred fifty thousand, four hundred".