3389463174240 has 768 divisors, whose sum is σ = 14756968074240. Its totient is φ = 713862512640.

The previous prime is 3389463174199. The next prime is 3389463174241. The reversal of 3389463174240 is 424713649833.

It is a happy number.

3389463174240 is a `hidden beast` number, since 3 + 3 + 8 + 9 + 463 + 174 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×3389463174240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3389463174241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10340547 + ... + 10663293.

It is an arithmetic number, because the mean of its divisors is an integer number (19214802180).

Almost surely, 2^{3389463174240} is an apocalyptic number.

3389463174240 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 3389463174240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7378484037120).

3389463174240 is an abundant number, since it is smaller than the sum of its proper divisors (11367504900000).

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

3389463174240 is a wasteful number, since it uses less digits than its factorization.

3389463174240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322812 (or 322798 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 3389463174240 in words is "three trillion, three hundred eighty-nine billion, four hundred sixty-three million, one hundred seventy-four thousand, two hundred forty".