3740074430400 has 2268 divisors, whose sum is σ = 17543600849736. Its totient is φ = 775982592000.

The previous prime is 3740074430357. The next prime is 3740074430429. The reversal of 3740074430400 is 40344700473.

It is a tau number, because it is divible by the number of its divisors (2268).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 5658206070 + ... + 5658206730.

Almost surely, 2^{3740074430400} is an apocalyptic number.

3740074430400 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 3740074430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8771800424868).

3740074430400 is an abundant number, since it is smaller than the sum of its proper divisors (13803526419336).

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

3740074430400 is an equidigital number, since it uses as much as digits as its factorization.

3740074430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The spelling of 3740074430400 in words is "three trillion, seven hundred forty billion, seventy-four million, four hundred thirty thousand, four hundred".