3007421706240 has 2080 divisors, whose sum is σ = 13312920107520. Its totient is φ = 634079674368.

The previous prime is 3007421706227. The next prime is 3007421706277. The reversal of 3007421706240 is 426071247003.

3007421706240 is a `hidden beast` number, since 3 + 0 + 0 + 7 + 4 + 21 + 7 + 0 + 624 + 0 = 666.

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 = 3007421706195 and 3007421706204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9487134562 + ... + 9487134878.

Almost surely, 2^{3007421706240} is an apocalyptic number.

3007421706240 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 3007421706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6656460053760).

3007421706240 is an abundant number, since it is smaller than the sum of its proper divisors (10305498401280).

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

3007421706240 is a wasteful number, since it uses less digits than its factorization.

3007421706240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 3007421706240 in words is "three trillion, seven billion, four hundred twenty-one million, seven hundred six thousand, two hundred forty".