3741866957136 has 320 divisors, whose sum is σ = 12768485621760. Its totient is φ = 914180628480.

The previous prime is 3741866957131. The next prime is 3741866957137. The reversal of 3741866957136 is 6317596681473.

It is a super-2 number, since 2×3741866957136² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3741866957131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107362465 + ... + 107397311.

It is an arithmetic number, because the mean of its divisors is an integer number (39901517568).

Almost surely, 2^{3741866957136} 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 3741866957136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6384242810880).

3741866957136 is an abundant number, since it is smaller than the sum of its proper divisors (9026618664624).

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

3741866957136 is a wasteful number, since it uses less digits than its factorization.

3741866957136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36602 (or 36596 counting only the distinct ones).

The product of its digits is 137168640, while the sum is 66.

The spelling of 3741866957136 in words is "three trillion, seven hundred forty-one billion, eight hundred sixty-six million, nine hundred fifty-seven thousand, one hundred thirty-six".