3734448390440 has 64 divisors (see below), whose sum is σ = 8438602032000. Its totient is φ = 1487366496000.

The previous prime is 3734448390419. The next prime is 3734448390443. The reversal of 3734448390440 is 440938444373.

It is a happy number.

It is a super-2 number, since 2×3734448390440² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3734448390443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33266726 + ... + 33378794.

It is an arithmetic number, because the mean of its divisors is an integer number (131853156750).

Almost surely, 2^{3734448390440} is an apocalyptic number.

It is an amenable number.

3734448390440 is an abundant number, since it is smaller than the sum of its proper divisors (4704153641560).

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

3734448390440 is a wasteful number, since it uses less digits than its factorization.

3734448390440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115650 (or 115646 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 53.

The spelling of 3734448390440 in words is "three trillion, seven hundred thirty-four billion, four hundred forty-eight million, three hundred ninety thousand, four hundred forty".