3789691194240 has 1280 divisors, whose sum is σ = 16089070694400. Its totient is φ = 831815516160.

The previous prime is 3789691194229. The next prime is 3789691194251. The reversal of 3789691194240 is 424911969873.

3789691194240 is a `hidden beast` number, since 3 + 7 + 8 + 96 + 9 + 119 + 424 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3789691194229) and next prime (3789691194251).

It is a super-3 number, since 3×3789691194240³ (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1541150131 + ... + 1541152589.

It is an arithmetic number, because the mean of its divisors is an integer number (12569586480).

Almost surely, 2^{3789691194240} is an apocalyptic number.

3789691194240 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 3789691194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8044535347200).

3789691194240 is an abundant number, since it is smaller than the sum of its proper divisors (12299379500160).

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

3789691194240 is a wasteful number, since it uses less digits than its factorization.

3789691194240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 3789691194240 in words is "three trillion, seven hundred eighty-nine billion, six hundred ninety-one million, one hundred ninety-four thousand, two hundred forty".