3898190499840 has 4160 divisors, whose sum is σ = 19181565849600. Its totient is φ = 749123665920.

The previous prime is 3898190499803. The next prime is 3898190499851. The reversal of 3898190499840 is 489940918983.

3898190499840 is a `hidden beast` number, since 3 + 8 + 9 + 8 + 1 + 90 + 499 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4160).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 125748080625 + ... + 125748080655.

Almost surely, 2^{3898190499840} is an apocalyptic number.

3898190499840 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 3898190499840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9590782924800).

3898190499840 is an abundant number, since it is smaller than the sum of its proper divisors (15283375349760).

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

3898190499840 is a wasteful number, since it uses less digits than its factorization.

3898190499840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 72.

The spelling of 3898190499840 in words is "three trillion, eight hundred ninety-eight billion, one hundred ninety million, four hundred ninety-nine thousand, eight hundred forty".