3629857440 has 96 divisors (see below), whose sum is σ = 12473528256. Its totient is φ = 879964160.

The previous prime is 3629857421. The next prime is 3629857499. The reversal of 3629857440 is 447589263.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3629857440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338457 + ... + 349016.

It is an arithmetic number, because the mean of its divisors is an integer number (129932586).

Almost surely, 2^3629857440 is an apocalyptic number.

3629857440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3629857440 is an abundant number, since it is smaller than the sum of its proper divisors (8843670816).

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

3629857440 is a wasteful number, since it uses less digits than its factorization.

3629857440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687502 (or 687494 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 3629857440 is about 60248.2982332281. The cubic root of 3629857440 is about 1536.8442488801.

The spelling of 3629857440 in words is "three billion, six hundred twenty-nine million, eight hundred fifty-seven thousand, four hundred forty".