3629094241440 has 48 divisors (see below), whose sum is σ = 11431646862048. Its totient is φ = 967758464256.

The previous prime is 3629094241411. The next prime is 3629094241441. The reversal of 3629094241440 is 441424909263.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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 3629094241440.

It is not an unprimeable number, because it can be changed into a prime (3629094241441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3780306022 + ... + 3780306981.

It is an arithmetic number, because the mean of its divisors is an integer number (238159309626).

Almost surely, 2^{3629094241440} is an apocalyptic number.

3629094241440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3629094241440 is an abundant number, since it is smaller than the sum of its proper divisors (7802552620608).

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

3629094241440 is a wasteful number, since it uses less digits than its factorization.

3629094241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7560613021 (or 7560613013 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 3629094241440 in words is "three trillion, six hundred twenty-nine billion, ninety-four million, two hundred forty-one thousand, four hundred forty".