3742027511040 has 1152 divisors, whose sum is σ = 16379303915520. Its totient is φ = 787792822272.

The previous prime is 3742027511039. The next prime is 3742027511051. The reversal of 3742027511040 is 401157202473.

3742027511040 is a `hidden beast` number, since 374 + 2 + 0 + 275 + 1 + 10 + 4 + 0 = 666.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 3742027510986 and 3742027511004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1846090507 + ... + 1846092533.

It is an arithmetic number, because the mean of its divisors is an integer number (14218145760).

Almost surely, 2^{3742027511040} is an apocalyptic number.

3742027511040 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 3742027511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8189651957760).

3742027511040 is an abundant number, since it is smaller than the sum of its proper divisors (12637276404480).

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

3742027511040 is a wasteful number, since it uses less digits than its factorization.

3742027511040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 3742027511040 in words is "three trillion, seven hundred forty-two billion, twenty-seven million, five hundred eleven thousand, forty".