3411896400 has 360 divisors, whose sum is σ = 13366510560. Its totient is φ = 798336000.

The previous prime is 3411896399. The next prime is 3411896401. The reversal of 3411896400 is 46981143.

3411896400 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 8 + 9 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3411896399) and next prime (3411896401).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3411896401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1146915 + ... + 1149885.

It is an arithmetic number, because the mean of its divisors is an integer number (37129196).

Almost surely, 2^3411896400 is an apocalyptic number.

3411896400 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 3411896400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6683255280).

3411896400 is an abundant number, since it is smaller than the sum of its proper divisors (9954614160).

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

3411896400 is a wasteful number, since it uses less digits than its factorization.

3411896400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3035 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3411896400 is about 58411.4406601994. The cubic root of 3411896400 is about 1505.4463343610.

It can be divided in two parts, 3411 and 896400, that added together give a triangular number (899811 = T₁₃₄₁).

The spelling of 3411896400 in words is "three billion, four hundred eleven million, eight hundred ninety-six thousand, four hundred".