3463367040 has 384 divisors, whose sum is σ = 13954824000. Its totient is φ = 791175168.

The previous prime is 3463367029. The next prime is 3463367077. The reversal of 3463367040 is 407633643.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3463367040² = 23989822507516723200, which contains 22 as substring.

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 = 3463366986 and 3463367004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1974804 + ... + 1976556.

Almost surely, 2^3463367040 is an apocalyptic number.

3463367040 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 3463367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6977412000).

3463367040 is an abundant number, since it is smaller than the sum of its proper divisors (10491456960).

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

3463367040 is a wasteful number, since it uses less digits than its factorization.

3463367040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The square root of 3463367040 is about 58850.3784184945. The cubic root of 3463367040 is about 1512.9787901138.

The spelling of 3463367040 in words is "three billion, four hundred sixty-three million, three hundred sixty-seven thousand, forty".