3628155914240 has 384 divisors, whose sum is σ = 10257813820800. Its totient is φ = 1214219550720.

The previous prime is 3628155914239. The next prime is 3628155914269. The reversal of 3628155914240 is 424195518263.

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 31 ways as a sum of consecutive naturals, for example, 516901451 + ... + 516908469.

It is an arithmetic number, because the mean of its divisors is an integer number (26713056825).

Almost surely, 2^{3628155914240} 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 3628155914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5128906910400).

3628155914240 is an abundant number, since it is smaller than the sum of its proper divisors (6629657906560).

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

3628155914240 is a wasteful number, since it uses less digits than its factorization.

3628155914240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7423 (or 7403 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 50.

The spelling of 3628155914240 in words is "three trillion, six hundred twenty-eight billion, one hundred fifty-five million, nine hundred fourteen thousand, two hundred forty".