3734260992000 has 3456 divisors, whose sum is σ = 17813695011840. Its totient is φ = 743178240000.

The previous prime is 3734260991959. The next prime is 3734260992001. The reversal of 3734260992000 is 2990624373.

3734260992000 is a `hidden beast` number, since 3 + 7 + 34 + 2 + 609 + 9 + 2 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×3734260992000³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3734260992001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 38497535952 + ... + 38497536048.

It is an arithmetic number, because the mean of its divisors is an integer number (5154425640).

Almost surely, 2^{3734260992000} is an apocalyptic number.

3734260992000 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 3734260992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8906847505920).

3734260992000 is an abundant number, since it is smaller than the sum of its proper divisors (14079434019840).

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

3734260992000 is a wasteful number, since it uses less digits than its factorization.

3734260992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 3734260992000 in words is "three trillion, seven hundred thirty-four billion, two hundred sixty million, nine hundred ninety-two thousand".