3378761760 has 192 divisors, whose sum is σ = 11785181184. Its totient is φ = 806784000.

The previous prime is 3378761731. The next prime is 3378761761. The reversal of 3378761760 is 671678733.

It is a happy number.

It is a super-2 number, since 2×3378761760² = 22832062061676595200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3378761761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348985 + ... + 358535.

It is an arithmetic number, because the mean of its divisors is an integer number (61381152).

Almost surely, 2^3378761760 is an apocalyptic number.

3378761760 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 3378761760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892590592).

3378761760 is an abundant number, since it is smaller than the sum of its proper divisors (8406419424).

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

3378761760 is a wasteful number, since it uses less digits than its factorization.

3378761760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9647 (or 9639 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 48.

The square root of 3378761760 is about 58127.1172517612. The cubic root of 3378761760 is about 1500.5570908520.

The spelling of 3378761760 in words is "three billion, three hundred seventy-eight million, seven hundred sixty-one thousand, seven hundred sixty".