3195749735640 has 1728 divisors, whose sum is σ = 14376690881280. Its totient is φ = 634916620800.

The previous prime is 3195749735609. The next prime is 3195749735657. The reversal of 3195749735640 is 465379475913.

It is a happy number.

3195749735640 is a `hidden beast` number, since 3 + 1 + 9 + 57 + 497 + 3 + 56 + 40 = 666.

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 431 ways as a sum of consecutive naturals, for example, 1325486035 + ... + 1325488445.

It is an arithmetic number, because the mean of its divisors is an integer number (8319844260).

Almost surely, 2^{3195749735640} is an apocalyptic number.

3195749735640 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 3195749735640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7188345440640).

3195749735640 is an abundant number, since it is smaller than the sum of its proper divisors (11180941145640).

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

3195749735640 is a wasteful number, since it uses less digits than its factorization.

3195749735640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 63.

The spelling of 3195749735640 in words is "three trillion, one hundred ninety-five billion, seven hundred forty-nine million, seven hundred thirty-five thousand, six hundred forty".