3465778752 has 336 divisors, whose sum is σ = 11172383040. Its totient is φ = 1061517312.

The previous prime is 3465778751. The next prime is 3465778753. The reversal of 3465778752 is 2578775643.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3465778751) and next prime (3465778753).

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

Its product of digits (9878400) is a multiple of the sum of its prime factors (400).

It is not an unprimeable number, because it can be changed into a prime (3465778751) 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, 10932898 + ... + 10933214.

It is an arithmetic number, because the mean of its divisors is an integer number (33251140).

Almost surely, 2^3465778752 is an apocalyptic number.

3465778752 is a gapful number since it is divisible by the number (32) 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 3465778752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5586191520).

3465778752 is an abundant number, since it is smaller than the sum of its proper divisors (7706604288).

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

3465778752 is a wasteful number, since it uses less digits than its factorization.

3465778752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 378 counting only the distinct ones).

The product of its digits is 9878400, while the sum is 54.

The square root of 3465778752 is about 58870.8650522480. The cubic root of 3465778752 is about 1513.3298956928.

The spelling of 3465778752 in words is "three billion, four hundred sixty-five million, seven hundred seventy-eight thousand, seven hundred fifty-two".