3672577440 has 864 divisors, whose sum is σ = 15918529536. Its totient is φ = 766402560.

The previous prime is 3672577427. The next prime is 3672577457. The reversal of 3672577440 is 447752763.

3672577440 is a `hidden beast` number, since 3 + 6 + 72 + 577 + 4 + 4 + 0 = 666.

3672577440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 50309244 + ... + 50309316.

It is an arithmetic number, because the mean of its divisors is an integer number (18424224).

Almost surely, 2^3672577440 is an apocalyptic number.

3672577440 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 3672577440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7959264768).

3672577440 is an abundant number, since it is smaller than the sum of its proper divisors (12245952096).

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

3672577440 is a wasteful number, since it uses less digits than its factorization.

3672577440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The square root of 3672577440 is about 60601.7940328502. The cubic root of 3672577440 is about 1542.8498194832.

The spelling of 3672577440 in words is "three billion, six hundred seventy-two million, five hundred seventy-seven thousand, four hundred forty".