3754412251840 has 224 divisors, whose sum is σ = 9778783795200. Its totient is φ = 1366804316160.

The previous prime is 3754412251769. The next prime is 3754412251841. The reversal of 3754412251840 is 481522144573.

It is a happy number.

It is a super-2 number, since 2×3754412251840² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3754412251841) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 246038131 + ... + 246053389.

It is an arithmetic number, because the mean of its divisors is an integer number (43655284800).

Almost surely, 2^{3754412251840} 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 3754412251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4889391897600).

3754412251840 is an abundant number, since it is smaller than the sum of its proper divisors (6024371543360).

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

3754412251840 is a wasteful number, since it uses less digits than its factorization.

3754412251840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16783 (or 16773 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 46.

The spelling of 3754412251840 in words is "three trillion, seven hundred fifty-four billion, four hundred twelve million, two hundred fifty-one thousand, eight hundred forty".