3354757053120 has 672 divisors, whose sum is σ = 12732389429760. Its totient is φ = 803994746880.

The previous prime is 3354757053071. The next prime is 3354757053143. The reversal of 3354757053120 is 213507574533.

3354757053120 is a `hidden beast` number, since 3 + 3 + 5 + 4 + 7 + 570 + 53 + 1 + 20 = 666.

It is a super-2 number, since 2×3354757053120² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1141460611 + ... + 1141463549.

It is an arithmetic number, because the mean of its divisors is an integer number (18947008080).

Almost surely, 2^{3354757053120} is an apocalyptic number.

3354757053120 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 3354757053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6366194714880).

3354757053120 is an abundant number, since it is smaller than the sum of its proper divisors (9377632376640).

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

3354757053120 is a wasteful number, since it uses less digits than its factorization.

3354757053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3373 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 45.

The spelling of 3354757053120 in words is "three trillion, three hundred fifty-four billion, seven hundred fifty-seven million, fifty-three thousand, one hundred twenty".