3754582012800 has 1152 divisors, whose sum is σ = 14268741027840. Its totient is φ = 938649600000.

The previous prime is 3754582012787. The next prime is 3754582012813. The reversal of 3754582012800 is 82102854573.

3754582012800 is a `hidden beast` number, since 3 + 7 + 54 + 582 + 0 + 12 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3754582012787) and next prime (3754582012813).

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3866716315 + ... + 3866717285.

It is an arithmetic number, because the mean of its divisors is an integer number (12386059920).

Almost surely, 2^{3754582012800} is an apocalyptic number.

3754582012800 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 3754582012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7134370513920).

3754582012800 is an abundant number, since it is smaller than the sum of its proper divisors (10514159015040).

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

3754582012800 is a wasteful number, since it uses less digits than its factorization.

3754582012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 3754582012800 in words is "three trillion, seven hundred fifty-four billion, five hundred eighty-two million, twelve thousand, eight hundred".