3283146501120 has 704 divisors, whose sum is σ = 11854059747840. Its totient is φ = 861637902336.

The previous prime is 3283146501113. The next prime is 3283146501143. The reversal of 3283146501120 is 211056413823.

3283146501120 is a `hidden beast` number, since 3 + 2 + 8 + 3 + 146 + 501 + 1 + 2 + 0 = 666.

3283146501120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3283146501120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2558959999 + ... + 2558961281.

Almost surely, 2^{3283146501120} is an apocalyptic number.

3283146501120 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 3283146501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927029873920).

3283146501120 is an abundant number, since it is smaller than the sum of its proper divisors (8570913246720).

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

3283146501120 is a wasteful number, since it uses less digits than its factorization.

3283146501120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

It can be divided in two parts, 3283 and 146501120, that added together give a triangular number (146504403 = T₁₇₁₁₇).

The spelling of 3283146501120 in words is "three trillion, two hundred eighty-three billion, one hundred forty-six million, five hundred one thousand, one hundred twenty".