3907342080 has 432 divisors, whose sum is σ = 14176693440. Its totient is φ = 992673792.

The previous prime is 3907342079. The next prime is 3907342081. The reversal of 3907342080 is 802437093.

3907342080 is a `hidden beast` number, since 3 + 90 + 73 + 420 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (3907342079) and next prime (3907342081).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3907342081) 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, 37935309 + ... + 37935411.

It is an arithmetic number, because the mean of its divisors is an integer number (32816420).

Almost surely, 2^3907342080 is an apocalyptic number.

3907342080 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 3907342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7088346720).

3907342080 is an abundant number, since it is smaller than the sum of its proper divisors (10269351360).

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

3907342080 is a wasteful number, since it uses less digits than its factorization.

3907342080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3907342080 is about 62508.7360294543. The cubic root of 3907342080 is about 1575.0480650487.

The spelling of 3907342080 in words is "three billion, nine hundred seven million, three hundred forty-two thousand, eighty".