3793450752000 has 3072 divisors, whose sum is σ = 17835445555200. Its totient is φ = 773967052800.

The previous prime is 3793450751999. The next prime is 3793450752019. The reversal of 3793450752000 is 2570543973.

3793450752000 is a `hidden beast` number, since 3 + 7 + 93 + 4 + 507 + 52 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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 255 ways as a sum of consecutive naturals, for example, 23272703919 + ... + 23272704081.

It is an arithmetic number, because the mean of its divisors is an integer number (5805809100).

Almost surely, 2^{3793450752000} is an apocalyptic number.

3793450752000 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 3793450752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8917722777600).

3793450752000 is an abundant number, since it is smaller than the sum of its proper divisors (14041994803200).

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

3793450752000 is a wasteful number, since it uses less digits than its factorization.

3793450752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 3793450752000 in words is "three trillion, seven hundred ninety-three billion, four hundred fifty million, seven hundred fifty-two thousand".