3512428920 has 1152 divisors, whose sum is σ = 16775216640. Its totient is φ = 638254080.

The previous prime is 3512428919. The next prime is 3512428921. The reversal of 3512428920 is 298242153.

It is a happy number.

3512428920 is a `hidden beast` number, since 3 + 512 + 42 + 89 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (3512428919) and next prime (3512428921).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3512428921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 184864671 + ... + 184864689.

It is an arithmetic number, because the mean of its divisors is an integer number (14561820).

Almost surely, 2^3512428920 is an apocalyptic number.

3512428920 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 3512428920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8387608320).

3512428920 is an abundant number, since it is smaller than the sum of its proper divisors (13262787720).

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

3512428920 is a wasteful number, since it uses less digits than its factorization.

3512428920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 60 counting only the distinct ones).

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

The square root of 3512428920 is about 59265.7482868478. The cubic root of 3512428920 is about 1520.0895780541.

The spelling of 3512428920 in words is "three billion, five hundred twelve million, four hundred twenty-eight thousand, nine hundred twenty".