3369795747840 has 640 divisors, whose sum is σ = 12472394711040. Its totient is φ = 869518540800.

The previous prime is 3369795747797. The next prime is 3369795747859. The reversal of 3369795747840 is 487475979633.

3369795747840 is a `hidden beast` number, since 3 + 3 + 6 + 9 + 7 + 9 + 574 + 7 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×3369795747840² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 411398145 + ... + 411406335.

It is an arithmetic number, because the mean of its divisors is an integer number (19488116736).

Almost surely, 2^{3369795747840} is an apocalyptic number.

3369795747840 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 3369795747840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6236197355520).

3369795747840 is an abundant number, since it is smaller than the sum of its proper divisors (9102598963200).

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

3369795747840 is an frugal number, since it uses more digits than its factorization.

3369795747840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8269 (or 8232 counting only the distinct ones).

The product of its (nonzero) digits is 960180480, while the sum is 72.

The spelling of 3369795747840 in words is "three trillion, three hundred sixty-nine billion, seven hundred ninety-five million, seven hundred forty-seven thousand, eight hundred forty".