3701121664240 has 320 divisors, whose sum is σ = 11692933604352. Its totient is φ = 1052026675200.

The previous prime is 3701121664189. The next prime is 3701121664271. The reversal of 3701121664240 is 424661211073.

3701121664240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3701121664240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6368220 + ... + 6925060.

Almost surely, 2^{3701121664240} 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 3701121664240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5846466802176).

3701121664240 is an abundant number, since it is smaller than the sum of its proper divisors (7991811940112).

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

3701121664240 is a wasteful number, since it uses less digits than its factorization.

3701121664240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556968 (or 556962 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 3701121664240 in words is "three trillion, seven hundred one billion, one hundred twenty-one million, six hundred sixty-four thousand, two hundred forty".