3510672480 has 288 divisors, whose sum is σ = 14063160384. Its totient is φ = 780668928.

The previous prime is 3510672479. The next prime is 3510672491. The reversal of 3510672480 is 842760153.

3510672480 is a `hidden beast` number, since 3 + 5 + 106 + 72 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368254 + ... + 377666.

It is an arithmetic number, because the mean of its divisors is an integer number (48830418).

Almost surely, 2^3510672480 is an apocalyptic number.

3510672480 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 3510672480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7031580192).

3510672480 is an abundant number, since it is smaller than the sum of its proper divisors (10552487904).

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

3510672480 is a wasteful number, since it uses less digits than its factorization.

3510672480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9478 (or 9467 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3510672480 is about 59250.9280939970. The cubic root of 3510672480 is about 1519.8361550078.

The spelling of 3510672480 in words is "three billion, five hundred ten million, six hundred seventy-two thousand, four hundred eighty".