3745254240000 has 2160 divisors, whose sum is σ = 17350497188640. Its totient is φ = 789626880000.

The previous prime is 3745254239983. The next prime is 3745254240017. The reversal of 3745254240000 is 424525473.

3745254240000 is a `hidden beast` number, since 3 + 74 + 5 + 2 + 542 + 40 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3745254239983) and next prime (3745254240017).

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2751839320 + ... + 2751840680.

Almost surely, 2^{3745254240000} is an apocalyptic number.

3745254240000 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 3745254240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8675248594320).

3745254240000 is an abundant number, since it is smaller than the sum of its proper divisors (13605242948640).

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

3745254240000 is a wasteful number, since it uses less digits than its factorization.

3745254240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

Adding to 3745254240000 its reverse (424525473), we get a palindrome (3745678765473).

The spelling of 3745254240000 in words is "three trillion, seven hundred forty-five billion, two hundred fifty-four million, two hundred forty thousand".