3120552540 has 288 divisors, whose sum is σ = 11609095680. Its totient is φ = 688455936.

The previous prime is 3120552503. The next prime is 3120552551. The reversal of 3120552540 is 452550213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 984999 + ... + 988161.

It is an arithmetic number, because the mean of its divisors is an integer number (40309360).

Almost surely, 2^3120552540 is an apocalyptic number.

3120552540 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 3120552540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5804547840).

3120552540 is an abundant number, since it is smaller than the sum of its proper divisors (8488543140).

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

3120552540 is a wasteful number, since it uses less digits than its factorization.

3120552540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3223 (or 3209 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 3120552540 is about 55861.9059825209. The cubic root of 3120552540 is about 1461.3149690494.

The spelling of 3120552540 in words is "three billion, one hundred twenty million, five hundred fifty-two thousand, five hundred forty".