3628697149440 has 2016 divisors, whose sum is σ = 15075887194368. Its totient is φ = 835013836800.

The previous prime is 3628697149409. The next prime is 3628697149457. The reversal of 3628697149440 is 449417968263.

It is a happy number.

3628697149440 is a `hidden beast` number, since 3 + 6 + 2 + 86 + 9 + 71 + 49 + 440 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27699978175 + ... + 27699978305.

It is an arithmetic number, because the mean of its divisors is an integer number (7478118648).

Almost surely, 2^{3628697149440} is an apocalyptic number.

3628697149440 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 3628697149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7537943597184).

3628697149440 is an abundant number, since it is smaller than the sum of its proper divisors (11447190044928).

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

3628697149440 is a wasteful number, since it uses less digits than its factorization.

3628697149440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 3628697149440 in words is "three trillion, six hundred twenty-eight billion, six hundred ninety-seven million, one hundred forty-nine thousand, four hundred forty".