3780470340 has 96 divisors (see below), whose sum is σ = 11799567360. Its totient is φ = 1004859648.

The previous prime is 3780470339. The next prime is 3780470357. The reversal of 3780470340 is 430740873.

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 = 3780470295 and 3780470304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157837 + ... + 180203.

It is an arithmetic number, because the mean of its divisors is an integer number (122912160).

Almost surely, 2^3780470340 is an apocalyptic number.

3780470340 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 3780470340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5899783680).

3780470340 is an abundant number, since it is smaller than the sum of its proper divisors (8019097020).

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

3780470340 is a wasteful number, since it uses less digits than its factorization.

3780470340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22698 (or 22690 counting only the distinct ones).

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

The square root of 3780470340 is about 61485.5295171148. The cubic root of 3780470340 is about 1557.8128373381.

The spelling of 3780470340 in words is "three billion, seven hundred eighty million, four hundred seventy thousand, three hundred forty".