3788698914000 has 7680 divisors, whose sum is σ = 21339434188800. Its totient is φ = 627056640000.

The previous prime is 3788698913863. The next prime is 3788698914037. The reversal of 3788698914000 is 4198968873.

3788698914000 is a `hidden beast` number, since 3 + 7 + 88 + 69 + 8 + 91 + 400 + 0 = 666.

It is a super-3 number, since 3×3788698914000³ (a number of 39 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 122216093985 + ... + 122216094015.

It is an arithmetic number, because the mean of its divisors is an integer number (2778572160).

Almost surely, 2^{3788698914000} is an apocalyptic number.

3788698914000 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 3788698914000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10669717094400).

3788698914000 is an abundant number, since it is smaller than the sum of its proper divisors (17550735274800).

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

3788698914000 is a wasteful number, since it uses less digits than its factorization.

3788698914000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 3788698914000 in words is "three trillion, seven hundred eighty-eight billion, six hundred ninety-eight million, nine hundred fourteen thousand".