3778007040 has 312 divisors, whose sum is σ = 13289078400. Its totient is φ = 992673792.

The previous prime is 3778007017. The next prime is 3778007041. The reversal of 3778007040 is 407008773.

It is a happy number.

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 = 3778006986 and 3778007004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3778007041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18984861 + ... + 18985059.

It is an arithmetic number, because the mean of its divisors is an integer number (42593200).

Almost surely, 2^3778007040 is an apocalyptic number.

3778007040 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 3778007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6644539200).

3778007040 is an abundant number, since it is smaller than the sum of its proper divisors (9511071360).

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

3778007040 is a wasteful number, since it uses less digits than its factorization.

3778007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 3778007040 is about 61465.4947104471. The cubic root of 3778007040 is about 1557.4744143576.

The spelling of 3778007040 in words is "three billion, seven hundred seventy-eight million, seven thousand, forty".