3746955036000 has 384 divisors, whose sum is σ = 13402247040000. Its totient is φ = 907585536000.

The previous prime is 3746955035977. The next prime is 3746955036023. The reversal of 3746955036000 is 6305596473.

It is an interprime number because it is at equal distance from previous prime (3746955035977) and next prime (3746955036023).

It is a super-2 number, since 2×3746955036000² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 164856637 + ... + 164879363.

It is an arithmetic number, because the mean of its divisors is an integer number (34901685000).

Almost surely, 2^{3746955036000} is an apocalyptic number.

3746955036000 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 3746955036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6701123520000).

3746955036000 is an abundant number, since it is smaller than the sum of its proper divisors (9655292004000).

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

3746955036000 is a wasteful number, since it uses less digits than its factorization.

3746955036000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24015 (or 23997 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 48.

The spelling of 3746955036000 in words is "three trillion, seven hundred forty-six billion, nine hundred fifty-five million, thirty-six thousand".