3734189739000 has 384 divisors, whose sum is σ = 14814505929600. Its totient is φ = 830460211200.

The previous prime is 3734189738999. The next prime is 3734189739023. The reversal of 3734189739000 is 9379814373.

It is a happy number.

3734189739000 is a `hidden beast` number, since 3 + 73 + 4 + 189 + 7 + 390 + 0 + 0 = 666.

It is a congruent number.

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, 1530016 + ... + 3131984.

It is an arithmetic number, because the mean of its divisors is an integer number (38579442525).

Almost surely, 2^{3734189739000} is an apocalyptic number.

3734189739000 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 3734189739000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7407252964800).

3734189739000 is an abundant number, since it is smaller than the sum of its proper divisors (11080316190600).

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

3734189739000 is a wasteful number, since it uses less digits than its factorization.

3734189739000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602040 (or 1602023 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 3734189739000 in words is "three trillion, seven hundred thirty-four billion, one hundred eighty-nine million, seven hundred thirty-nine thousand".