3701446245120 has 576 divisors, whose sum is σ = 13328895089664. Its totient is φ = 868589568000.

The previous prime is 3701446245113. The next prime is 3701446245127. The reversal of 3701446245120 is 215426441073.

It is an interprime number because it is at equal distance from previous prime (3701446245113) and next prime (3701446245127).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3701446245127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 352479870 + ... + 352490370.

It is an arithmetic number, because the mean of its divisors is an integer number (23140442864).

Almost surely, 2^{3701446245120} is an apocalyptic number.

3701446245120 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 3701446245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6664447544832).

3701446245120 is an abundant number, since it is smaller than the sum of its proper divisors (9627448844544).

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

3701446245120 is a wasteful number, since it uses less digits than its factorization.

3701446245120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10868 (or 10854 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 3701446245120 in words is "three trillion, seven hundred one billion, four hundred forty-six million, two hundred forty-five thousand, one hundred twenty".