3462975360 has 384 divisors, whose sum is σ = 13031928000. Its totient is φ = 842268672.

The previous prime is 3462975353. The next prime is 3462975367. The reversal of 3462975360 is 635792643.

It is an interprime number because it is at equal distance from previous prime (3462975353) and next prime (3462975367).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3462975367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7712416 + ... + 7712864.

Almost surely, 2^3462975360 is an apocalyptic number.

3462975360 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 3462975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6515964000).

3462975360 is an abundant number, since it is smaller than the sum of its proper divisors (9568952640).

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

3462975360 is a wasteful number, since it uses less digits than its factorization.

3462975360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 3462975360 is about 58847.0505633035. The cubic root of 3462975360 is about 1512.9217525675.

The spelling of 3462975360 in words is "three billion, four hundred sixty-two million, nine hundred seventy-five thousand, three hundred sixty".