3755746545408 has 1152 divisors, whose sum is σ = 13593708011520. Its totient is φ = 1015665868800.

The previous prime is 3755746545373. The next prime is 3755746545469. The reversal of 3755746545408 is 8045456475573.

3755746545408 is a `hidden beast` number, since 3 + 7 + 5 + 5 + 7 + 46 + 545 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×3755746545408² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3707547910 + ... + 3707548922.

It is an arithmetic number, because the mean of its divisors is an integer number (11800093760).

Almost surely, 2^{3755746545408} 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 3755746545408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6796854005760).

3755746545408 is an abundant number, since it is smaller than the sum of its proper divisors (9837961466112).

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

3755746545408 is a wasteful number, since it uses less digits than its factorization.

3755746545408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 282240000, while the sum is 63.

The spelling of 3755746545408 in words is "three trillion, seven hundred fifty-five billion, seven hundred forty-six million, five hundred forty-five thousand, four hundred eight".