3742402451840 has 512 divisors, whose sum is σ = 10185594531840. Its totient is φ = 1304538808320.

The previous prime is 3742402451833. The next prime is 3742402451857. The reversal of 3742402451840 is 481542042473.

It is a Cunningham number, because it is equal to 1934529²-1.

It is a super-2 number, since 2×3742402451840² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3742402451791 and 3742402451800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5784238397 + ... + 5784239043.

It is an arithmetic number, because the mean of its divisors is an integer number (19893739320).

Almost surely, 2^{3742402451840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3742402451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5092797265920).

3742402451840 is an abundant number, since it is smaller than the sum of its proper divisors (6443192080000).

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

3742402451840 is a wasteful number, since it uses less digits than its factorization.

3742402451840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 44.

The spelling of 3742402451840 in words is "three trillion, seven hundred forty-two billion, four hundred two million, four hundred fifty-one thousand, eight hundred forty".