3741413606400 has 1056 divisors, whose sum is σ = 13918709145600. Its totient is φ = 881727897600.

The previous prime is 3741413606387. The next prime is 3741413606417. The reversal of 3741413606400 is 46063141473.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1376024241 + ... + 1376026959.

Almost surely, 2^{3741413606400} is an apocalyptic number.

3741413606400 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 3741413606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6959354572800).

3741413606400 is an abundant number, since it is smaller than the sum of its proper divisors (10177295539200).

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

3741413606400 is a wasteful number, since it uses less digits than its factorization.

3741413606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

Adding to 3741413606400 its reverse (46063141473), we get a palindrome (3787476747873).

The spelling of 3741413606400 in words is "three trillion, seven hundred forty-one billion, four hundred thirteen million, six hundred six thousand, four hundred".