3749294650752 has 768 divisors, whose sum is σ = 13207214592000. Its totient is φ = 997124567040.

The previous prime is 3749294650741. The next prime is 3749294650757. The reversal of 3749294650752 is 2570564929473.

3749294650752 is a `hidden beast` number, since 3 + 7 + 492 + 9 + 46 + 50 + 7 + 52 = 666.

It is a super-6 number, since 6×3749294650752⁶ (a number of 77 digits) contains 666666 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 3749294650752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3749294650757) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5689369399 + ... + 5689370057.

It is an arithmetic number, because the mean of its divisors is an integer number (17196894000).

Almost surely, 2^{3749294650752} is an apocalyptic number.

3749294650752 is a gapful number since it is divisible by the number (32) 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 3749294650752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6603607296000).

3749294650752 is an abundant number, since it is smaller than the sum of its proper divisors (9457919941248).

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

3749294650752 is a wasteful number, since it uses less digits than its factorization.

3749294650752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 3749294650752 in words is "three trillion, seven hundred forty-nine billion, two hundred ninety-four million, six hundred fifty thousand, seven hundred fifty-two".