3612473303040 has 1344 divisors, whose sum is σ = 15143302321920. Its totient is φ = 824704892928.

The previous prime is 3612473303003. The next prime is 3612473303083. The reversal of 3612473303040 is 403033742163.

3612473303040 is a `hidden beast` number, since 3 + 6 + 12 + 4 + 7 + 330 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a junction number, because it is equal to n+sod(n) for n = 3612473302986 and 3612473303004.

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, 4389396069 + ... + 4389396891.

Almost surely, 2^{3612473303040} is an apocalyptic number.

3612473303040 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 3612473303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7571651160960).

3612473303040 is an abundant number, since it is smaller than the sum of its proper divisors (11530829018880).

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

3612473303040 is an frugal number, since it uses more digits than its factorization.

3612473303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The spelling of 3612473303040 in words is "three trillion, six hundred twelve billion, four hundred seventy-three million, three hundred three thousand, forty".