3678877440 has 720 divisors, whose sum is σ = 15563604672. Its totient is φ = 812187648.

The previous prime is 3678877417. The next prime is 3678877441. The reversal of 3678877440 is 447788763.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3678877441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26853052 + ... + 26853188.

Almost surely, 2^3678877440 is an apocalyptic number.

3678877440 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 3678877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7781802336).

3678877440 is an abundant number, since it is smaller than the sum of its proper divisors (11884727232).

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

3678877440 is a wasteful number, since it uses less digits than its factorization.

3678877440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The square root of 3678877440 is about 60653.7504199040. The cubic root of 3678877440 is about 1543.7315255319.

The spelling of 3678877440 in words is "three billion, six hundred seventy-eight million, eight hundred seventy-seven thousand, four hundred forty".