3652779240 has 320 divisors, whose sum is σ = 13526948160. Its totient is φ = 876718080.

The previous prime is 3652779233. The next prime is 3652779269. The reversal of 3652779240 is 429772563.

3652779240 is a `hidden beast` number, since 36 + 527 + 7 + 92 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4026867 + ... + 4027773.

It is an arithmetic number, because the mean of its divisors is an integer number (42271713).

Almost surely, 2^3652779240 is an apocalyptic number.

3652779240 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 3652779240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6763474080).

3652779240 is an abundant number, since it is smaller than the sum of its proper divisors (9874168920).

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

3652779240 is a wasteful number, since it uses less digits than its factorization.

3652779240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 3652779240 is about 60438.2266450630. The cubic root of 3652779240 is about 1540.0724146530.

The spelling of 3652779240 in words is "three billion, six hundred fifty-two million, seven hundred seventy-nine thousand, two hundred forty".