3007401942888 has 320 divisors, whose sum is σ = 9996810912000. Its totient is φ = 826464135168.

The previous prime is 3007401942871. The next prime is 3007401942949. The reversal of 3007401942888 is 8882491047003.

It is a happy number.

3007401942888 is a `hidden beast` number, since 300 + 7 + 40 + 19 + 4 + 288 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34552608 + ... + 34639536.

It is an arithmetic number, because the mean of its divisors is an integer number (31240034100).

Almost surely, 2^{3007401942888} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3007401942888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4998405456000).

3007401942888 is an abundant number, since it is smaller than the sum of its proper divisors (6989408969112).

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

3007401942888 is a wasteful number, since it uses less digits than its factorization.

3007401942888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87246 (or 87233 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 3007401942888 in words is "three trillion, seven billion, four hundred one million, nine hundred forty-two thousand, eight hundred eighty-eight".