3466540887600 has 1920 divisors, whose sum is σ = 14327971840000. Its totient is φ = 713276928000.

The previous prime is 3466540887587. The next prime is 3466540887613. The reversal of 3466540887600 is 67880456643.

It is an interprime number because it is at equal distance from previous prime (3466540887587) and next prime (3466540887613).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19152159510 + ... + 19152159690.

Almost surely, 2^{3466540887600} is an apocalyptic number.

3466540887600 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 3466540887600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7163985920000).

3466540887600 is an abundant number, since it is smaller than the sum of its proper divisors (10861430952400).

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

3466540887600 is a wasteful number, since it uses less digits than its factorization.

3466540887600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 3466540887600 in words is "three trillion, four hundred sixty-six billion, five hundred forty million, eight hundred eighty-seven thousand, six hundred".