3698419253760 has 2560 divisors, whose sum is σ = 17348215357440. Its totient is φ = 733118791680.

The previous prime is 3698419253759. The next prime is 3698419253839. The reversal of 3698419253760 is 673529148963.

3698419253760 is a `hidden beast` number, since 3 + 6 + 9 + 8 + 4 + 1 + 92 + 537 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9915332934 + ... + 9915333306.

It is an arithmetic number, because the mean of its divisors is an integer number (6776646624).

It is a 1-persistent number, because it is pandigital, but 2⋅3698419253760 = 7396838507520 is not.

Almost surely, 2^{3698419253760} is an apocalyptic number.

3698419253760 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 3698419253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8674107678720).

3698419253760 is an abundant number, since it is smaller than the sum of its proper divisors (13649796103680).

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

3698419253760 is an equidigital number, since it uses as much as digits as its factorization.

3698419253760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 3698419253760 in words is "three trillion, six hundred ninety-eight billion, four hundred nineteen million, two hundred fifty-three thousand, seven hundred sixty".